Solution:

Given, cost price of rice A = Rs.13.84/kg

Cost price of rice B = Rs.15.54/kg

Selling price of the mixture = Rs.17.60/kg

Profit earned = 14.6%

Let us assume that x kg of rice A and y kg of rice B are mixed to get the final mixture.

Cost Price Calculation:

Total cost price of rice A = Rs.13.84 x kg

Total cost price of rice B = Rs.15.54 y kg

Total cost price of the mixture = (13.84 x + 15.54 y)

Selling Price Calculation:

Total selling price of the mixture = 17.6 (x + y) kg

Calculation of Profit Earned:

Profit earned = Selling Price - Cost Price

= 17.6 (x + y) - (13.84 x + 15.54 y)

= 3.76 x + 2.06 y

Profit earned as a percentage of the selling price = (Profit earned / Selling price) x 100

= ((3.76 x + 2.06 y) / 17.6 (x + y)) x 100

Given, profit earned = 14.6%

Therefore, (3.76 x + 2.06 y) / 17.6 (x + y) x 100 = 14.6

Solving this equation, we get:

x/y = 1.5/1

Therefore, the ratio of rice A to rice B in the mixture is 1.5:1.

Calculation of Final Mixture:

Let us assume that we take 1.5 kg of rice A and 1 kg of rice B.

Total cost price of the mixture = (13.84 x 1.5) + (15.54 x 1) = Rs.32.56

Selling price of the mixture = 17.6 x 2.5 = Rs.44

Profit earned = Selling price - Cost price = Rs.44 - Rs.32.56 = Rs.11.44

Profit earned as a percentage of the selling price = (Profit earned / Selling price) x 100 = (11.44 / 44) x 100 = 26%

Therefore, the dealer earns a profit of 26% on the final mixture.

Conclusion:

Thus, we can conclude that the dealer mixes rice A and rice B in the ratio of 1.5:1 to get the final mixture and earns a profit of 26% on the selling price.