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.

6, 9, ['J', '5177', 'm', '7413', 'T', 'N', '5153', 'S', '8145']
13298

1, 15, ['k', 'z', 'D', '4827', '8921', 'o', 'e', 'U', 'f', '7419', 't', 'Z', 'c', '4089', '1117', '2309', '9095']
26373

1, 1, ['4223', '2273']

4223