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Finding the Fourth Proportional to 22,517.70, 31,073.85 and 12,445.44

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Solution

The fourth proportional to 22,517.70, 31,073.85 and 12,445.44 is: 17,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.70 : 31,073.85 = 12,445.44 : x
  2. Step 2: Convert to fraction form
    22,517.70/31,073.85 = 12,445.44/x
  3. Step 3: Cross multiply
    22,517.70x = 31,073.85 × 12,445.44
  4. Step 4: Simplify right side
    22,517.70x = 386,727,735.74
  5. Step 5: Solve for x
    x = 386,727,735.74/22,517.70
  6. Step 6: Final answer
    x = 17,174.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.