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.
18, 19, ['5115', 'b', 'B', '9739', '4509', 'D', 'P', 'p', '9235', '9517', '7279', '8703', '8535', '5943', '1527', 'N', 'U', '3099', 'c', '5173', 'V', '3539', '8043', 'l']