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Finding the Fourth Proportional to 16,545.32, 22,829.96 and 9,830.78

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Solution

The fourth proportional to 16,545.32, 22,829.96 and 9,830.78 is: 13,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.32 : 22,829.96 = 9,830.78 : x
  2. Step 2: Convert to fraction form
    16,545.32/22,829.96 = 9,830.78/x
  3. Step 3: Cross multiply
    16,545.32x = 22,829.96 × 9,830.78
  4. Step 4: Simplify right side
    16,545.32x = 224,436,314.17
  5. Step 5: Solve for x
    x = 224,436,314.17/16,545.32
  6. Step 6: Final answer
    x = 13,564.94

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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.