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Finding the Fourth Proportional to 22,202.92, 30,640.96 and 12,771.50

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Solution

The fourth proportional to 22,202.92, 30,640.96 and 12,771.50 is: 17,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.92 : 30,640.96 = 12,771.50 : x
  2. Step 2: Convert to fraction form
    22,202.92/30,640.96 = 12,771.50/x
  3. Step 3: Cross multiply
    22,202.92x = 30,640.96 × 12,771.50
  4. Step 4: Simplify right side
    22,202.92x = 391,331,020.64
  5. Step 5: Solve for x
    x = 391,331,020.64/22,202.92
  6. Step 6: Final answer
    x = 17,625.21

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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.