A thirty-year annuity X has annual payments of $1000 at the beginning of each year for twelve years, then annual payments of $2000 at the beginning of each year for 18 years. A perpetuity Y has payment of $Q at the end of each year for 20 years, then payments of $3Q at the end of each year thereafter. The PV of X, Y are equal when calculated using annual effective discount rate of 7.69%. Find Q.