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: 1, 1, ['R', '3969', 'O', '3281', 'X', '5173', 'K', 'G', 'm', 'Y', '4981', 'x', '9127', 'X', 'w', 'm', '3873', '5887', '7405', 't', 'P', 'K', '8459', '9699']
Example Output: 0

Example Input: 17, 22, ['4123', '6299', '2781', '759', 'f', 'A', 'X', '2549', 'K', '8119', '8725', 'e', 'I', 'S', '1429', 'd', '8051', 'Q', 'y', '1045', '763', 't', 'J', 'J', '169', 'b', '721']
Example Output: 9859

Example Input: 8, 17, ['8781', '3181', '2665', 'P', '1943', 'I', '8595', 'Q', '6271', 'H', '9333', 'F', 'U', '1451', 'z', 'e', '9417', '8157', 'f', '6581', 'v', '1995', 'S', '2321', 'P', '8769']
Example Output:
26472