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Finding the Fourth Proportional to 16,500.29, 24,691.31 and 14,286.76

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Solution

The fourth proportional to 16,500.29, 24,691.31 and 14,286.76 is: 21,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.29 : 24,691.31 = 14,286.76 : x
  2. Step 2: Convert to fraction form
    16,500.29/24,691.31 = 14,286.76/x
  3. Step 3: Cross multiply
    16,500.29x = 24,691.31 × 14,286.76
  4. Step 4: Simplify right side
    16,500.29x = 352,758,890.28
  5. Step 5: Solve for x
    x = 352,758,890.28/16,500.29
  6. Step 6: Final answer
    x = 21,378.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.