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.
19, 24, ['5767', '1603', '8627', 'N', 'r', 'P', '739', 'v', '1033', '8621', '2053', 'w', 'z', '2743', '7391', 'V', '6661', '2161', 'z', '6275', 'p', '4477', 'B', '9829']