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Finding the Fourth Proportional to 22,517.20, 31,073.32 and 12,446

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Solution

The fourth proportional to 22,517.20, 31,073.32 and 12,446 is: 17,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.20 : 31,073.32 = 12,446 : x
  2. Step 2: Convert to fraction form
    22,517.20/31,073.32 = 12,446/x
  3. Step 3: Cross multiply
    22,517.20x = 31,073.32 × 12,446
  4. Step 4: Simplify right side
    22,517.20x = 386,738,540.72
  5. Step 5: Solve for x
    x = 386,738,540.72/22,517.20
  6. Step 6: Final answer
    x = 17,175.25

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