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: 8, 12, ['i', '35', 'v', 'G', 'o', '5861', '8371', 'P', '1895', '6183', '8025', '2455', '4763', '409', 'e', 'A', '9029', 'a', 'I', '2761', '5481', 'f', '3413', '803', 'W', 'A', '8781']
Example Output: 18558

Example Input: 6, 27, ['O', '4985', '525', 'U', 'B', '4689', 'u', '2891', 'A', 'O', 'u', 'T', 'Z', '81', '9747', 'O', '2135', 'U', '8637', '3927', 'X', 'z', 'W', 'h', '6347', 'L', 'c', 'H', 'q']
Example Output: 38454

Example Input: 1, 3, ['U', '8563', '1209', 'l', '2899', '7113', '367', 'x']
Example Output:
9772