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Finding the Fourth Proportional to 22,517.52, 31,074 and 12,446.64

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Solution

The fourth proportional to 22,517.52, 31,074 and 12,446.64 is: 17,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.52 : 31,074 = 12,446.64 : x
  2. Step 2: Convert to fraction form
    22,517.52/31,074 = 12,446.64/x
  3. Step 3: Cross multiply
    22,517.52x = 31,074 × 12,446.64
  4. Step 4: Simplify right side
    22,517.52x = 386,766,891.36
  5. Step 5: Solve for x
    x = 386,766,891.36/22,517.52
  6. Step 6: Final answer
    x = 17,176.27

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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.