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: 4, 8, ['3573', '9813', '3867', 'i', '5291', '1987', '9811', 'A']
Example Output: 17089

Example Input: 20, 26, ['8183', 'I', 'o', 'B', '7567', '4953', '8133', '2883', 'g', 'D', '865', 'a', 'y', 'Z', 'F', '3211', 'e', 'X', '5135', '7257', 'G', '1577', '7977', 'X', 'z', 'e']
Example Output: 16811

Example Input: 2, 5, ['3107', 'h', '5917', 'o', 'I', '7853', '7487', '3213']
Example Output:
5917