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Finding the Fourth Proportional to 22,856.69, 31,545.15 and 12,785.69

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Solution

The fourth proportional to 22,856.69, 31,545.15 and 12,785.69 is: 17,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.69 : 31,545.15 = 12,785.69 : x
  2. Step 2: Convert to fraction form
    22,856.69/31,545.15 = 12,785.69/x
  3. Step 3: Cross multiply
    22,856.69x = 31,545.15 × 12,785.69
  4. Step 4: Simplify right side
    22,856.69x = 403,326,508.90
  5. Step 5: Solve for x
    x = 403,326,508.90/22,856.69
  6. Step 6: Final answer
    x = 17,645.88

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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.