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Finding the Fourth Proportional to 22,229.28, 33,307 and 15,641.64

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Solution

The fourth proportional to 22,229.28, 33,307 and 15,641.64 is: 23,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.28 : 33,307 = 15,641.64 : x
  2. Step 2: Convert to fraction form
    22,229.28/33,307 = 15,641.64/x
  3. Step 3: Cross multiply
    22,229.28x = 33,307 × 15,641.64
  4. Step 4: Simplify right side
    22,229.28x = 520,976,103.48
  5. Step 5: Solve for x
    x = 520,976,103.48/22,229.28
  6. Step 6: Final answer
    x = 23,436.48

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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.