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Finding the Fourth Proportional to 16,311.29, 22,508.82 and 9,237.76

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Solution

The fourth proportional to 16,311.29, 22,508.82 and 9,237.76 is: 12,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.29 : 22,508.82 = 9,237.76 : x
  2. Step 2: Convert to fraction form
    16,311.29/22,508.82 = 9,237.76/x
  3. Step 3: Cross multiply
    16,311.29x = 22,508.82 × 9,237.76
  4. Step 4: Simplify right side
    16,311.29x = 207,931,020.77
  5. Step 5: Solve for x
    x = 207,931,020.77/16,311.29
  6. Step 6: Final answer
    x = 12,747.68

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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.