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: 7, 12, ['8785', '221', 'f', 'f', '5743', '4839', '9389', '4759', '1493', 'a', '4951', 'K', '8501', '3331', '2069', '2713', 'j', '7557', 'p', '7679', 'S', '6499', 'E', '439', 't', 'P', 'i', 'u', '8401', 'o']
Example Output: 20592

Example Input: 2, 7, ['1505', 'V', '4287', 'M', 'i', 'J', '9343', 'X', '2691', 'W', 'u', '7711', 'X', 'y', '9189']
Example Output: 13630

Example Input: 2, 7, ['Y', '9821', 'o', 'D', 'P', 'g', 'h', 'd', 'q', '1757', '7385', '4921', '6805', '7023', '2687', '6621', '1367', '1181', 'X', 'g', 'J', 'H', '8735']
Example Output:
9821