In the equation \(\frac{1}{j} + \frac{1}{k} = \frac{1}{3}\), both j and k are positive integers. What is the sum of all possible values for k?
1 / J + 1 / K = 1 / 3
J = 4 and K = 12
J = 6 and K = 6
J = 12 and K = 4
K = 4 + 6 + 12 = 22
