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Finding the Fourth Proportional to 22,906.10, 34,354.35 and 11,227.70

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Solution

The fourth proportional to 22,906.10, 34,354.35 and 11,227.70 is: 16,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.10 : 34,354.35 = 11,227.70 : x
  2. Step 2: Convert to fraction form
    22,906.10/34,354.35 = 11,227.70/x
  3. Step 3: Cross multiply
    22,906.10x = 34,354.35 × 11,227.70
  4. Step 4: Simplify right side
    22,906.10x = 385,720,335.50
  5. Step 5: Solve for x
    x = 385,720,335.50/22,906.10
  6. Step 6: Final answer
    x = 16,839.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.