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Finding the Fourth Proportional to 22,951.38, 34,416.68 and 8,160.69

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Solution

The fourth proportional to 22,951.38, 34,416.68 and 8,160.69 is: 12,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.38 : 34,416.68 = 8,160.69 : x
  2. Step 2: Convert to fraction form
    22,951.38/34,416.68 = 8,160.69/x
  3. Step 3: Cross multiply
    22,951.38x = 34,416.68 × 8,160.69
  4. Step 4: Simplify right side
    22,951.38x = 280,863,876.71
  5. Step 5: Solve for x
    x = 280,863,876.71/22,951.38
  6. Step 6: Final answer
    x = 12,237.34

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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.