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Finding the Fourth Proportional to 22,714.38, 34,078.55 and 11,628.86

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Solution

The fourth proportional to 22,714.38, 34,078.55 and 11,628.86 is: 17,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.38 : 34,078.55 = 11,628.86 : x
  2. Step 2: Convert to fraction form
    22,714.38/34,078.55 = 11,628.86/x
  3. Step 3: Cross multiply
    22,714.38x = 34,078.55 × 11,628.86
  4. Step 4: Simplify right side
    22,714.38x = 396,294,545.63
  5. Step 5: Solve for x
    x = 396,294,545.63/22,714.38
  6. Step 6: Final answer
    x = 17,446.85

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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.