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Finding the Fourth Proportional to 22,800.92, 34,186.57 and 9,470.25

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Solution

The fourth proportional to 22,800.92, 34,186.57 and 9,470.25 is: 14,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.92 : 34,186.57 = 9,470.25 : x
  2. Step 2: Convert to fraction form
    22,800.92/34,186.57 = 9,470.25/x
  3. Step 3: Cross multiply
    22,800.92x = 34,186.57 × 9,470.25
  4. Step 4: Simplify right side
    22,800.92x = 323,755,340.87
  5. Step 5: Solve for x
    x = 323,755,340.87/22,800.92
  6. Step 6: Final answer
    x = 14,199.23

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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.