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.

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

3, 6, ['l', 'C', '6183', 'd', '6519', 'm']
12702

4, 12, ['2429', 'N', '2863', '4015', 'T', '1471', '4721', '233', 'j', '4571', '7067', '3235']

25313