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Finding the Fourth Proportional to 16,505.92, 22,778.18 and 8,952.24

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Solution

The fourth proportional to 16,505.92, 22,778.18 and 8,952.24 is: 12,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.92 : 22,778.18 = 8,952.24 : x
  2. Step 2: Convert to fraction form
    16,505.92/22,778.18 = 8,952.24/x
  3. Step 3: Cross multiply
    16,505.92x = 22,778.18 × 8,952.24
  4. Step 4: Simplify right side
    16,505.92x = 203,915,734.12
  5. Step 5: Solve for x
    x = 203,915,734.12/16,505.92
  6. Step 6: Final answer
    x = 12,354.10

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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.