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Finding the Fourth Proportional to 22,256.14, 33,401.13 and 8,229.44

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Solution

The fourth proportional to 22,256.14, 33,401.13 and 8,229.44 is: 12,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.14 : 33,401.13 = 8,229.44 : x
  2. Step 2: Convert to fraction form
    22,256.14/33,401.13 = 8,229.44/x
  3. Step 3: Cross multiply
    22,256.14x = 33,401.13 × 8,229.44
  4. Step 4: Simplify right side
    22,256.14x = 274,872,641.78
  5. Step 5: Solve for x
    x = 274,872,641.78/22,256.14
  6. Step 6: Final answer
    x = 12,350.42

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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.