The average of all 24 numbers is \(33\frac{1}{2}\). The average of first 10 numbers is \(32\frac{1}{2}\) and the average of last 10 numbers is \(34\frac{1}{2}\). The 11^th number is 2.5 less than the 13^th number and the average of 12^th and 14^th number is 35.75. Then, find the value of 13^th number?