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: 2, 2, ['8023', '9385', '7533', 'd', 'H', '3751', 'A', '1399']
Example Output: 9385

Example Input: 23, 25, ['v', 'J', 'B', 'y', 'G', 'z', 'f', '1651', 'T', 'X', '8701', '701', 'T', 'V', '1037', '4095', '8297', '2733', 'P', 'J', '7759', 'Z', '8153', 'q', '7619']
Example Output: 15772

Example Input: 10, 13, ['z', 'h', '141', '7351', '3683', '2199', '1981', '107', 'Y', 'E', 'G', 'P', '9677', 'O', 'e', '1661', 'f', '1367', 'b', '8531']
Example Output:
9677