In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

Example Input: 5, 22, ['t', '8483', '8799', 'W', 'l', '2567', '2787', 'L', 'G', 'T', '5765', '5029', '8059', '8505', '6905', 'Z', '8153', 'e', 'K', '3529', 'g', '2667', '6629', 'O']
Example Output: 53966

Example Input: 9, 16, ['v', '5691', '4973', 'J', 'w', '539', '6957', '9953', 'L', 'c', '5879', 'b', 'g', '6681', 'C', '753', '5835', '1023', 'w', '5713', '159', 'X', 'z', 'i', '8379', '9753', '195', 'X']
Example Output: 13313

Example Input: 19, 22, ['l', '161', 'c', '2421', '7447', 'C', '5305', 'R', '2083', '7227', 'y', '7103', 'l', '1765', 'I', '1133', '4381', '489', 'y', 'z', 'N', '8015', '4775', '7887', 'e', '839']
Example Output:
8015