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Finding the Fourth Proportional to 15,098.92, 22,631.10 and 5,857

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Solution

The fourth proportional to 15,098.92, 22,631.10 and 5,857 is: 8,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.92 : 22,631.10 = 5,857 : x
  2. Step 2: Convert to fraction form
    15,098.92/22,631.10 = 5,857/x
  3. Step 3: Cross multiply
    15,098.92x = 22,631.10 × 5,857
  4. Step 4: Simplify right side
    15,098.92x = 132,550,352.70
  5. Step 5: Solve for x
    x = 132,550,352.70/15,098.92
  6. Step 6: Final answer
    x = 8,778.80

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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.