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Finding the Fourth Proportional to 17,996.95, 24,836.31 and 10,039

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Solution

The fourth proportional to 17,996.95, 24,836.31 and 10,039 is: 13,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996.95 : 24,836.31 = 10,039 : x
  2. Step 2: Convert to fraction form
    17,996.95/24,836.31 = 10,039/x
  3. Step 3: Cross multiply
    17,996.95x = 24,836.31 × 10,039
  4. Step 4: Simplify right side
    17,996.95x = 249,331,716.09
  5. Step 5: Solve for x
    x = 249,331,716.09/17,996.95
  6. Step 6: Final answer
    x = 13,854.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.