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Finding the Fourth Proportional to 22,265.66, 33,400.72 and 8,229.38

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Solution

The fourth proportional to 22,265.66, 33,400.72 and 8,229.38 is: 12,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.66 : 33,400.72 = 8,229.38 : x
  2. Step 2: Convert to fraction form
    22,265.66/33,400.72 = 8,229.38/x
  3. Step 3: Cross multiply
    22,265.66x = 33,400.72 × 8,229.38
  4. Step 4: Simplify right side
    22,265.66x = 274,867,217.15
  5. Step 5: Solve for x
    x = 274,867,217.15/22,265.66
  6. Step 6: Final answer
    x = 12,344.89

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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.