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Finding the Fourth Proportional to 22,793.71, 31,456.90 and 12,724.11

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Solution

The fourth proportional to 22,793.71, 31,456.90 and 12,724.11 is: 17,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,793.71 : 31,456.90 = 12,724.11 : x
  2. Step 2: Convert to fraction form
    22,793.71/31,456.90 = 12,724.11/x
  3. Step 3: Cross multiply
    22,793.71x = 31,456.90 × 12,724.11
  4. Step 4: Simplify right side
    22,793.71x = 400,261,189.73
  5. Step 5: Solve for x
    x = 400,261,189.73/22,793.71
  6. Step 6: Final answer
    x = 17,560.16

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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.