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Finding the Fourth Proportional to 22,660.92, 31,270.53 and 12,589.38

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Solution

The fourth proportional to 22,660.92, 31,270.53 and 12,589.38 is: 17,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.92 : 31,270.53 = 12,589.38 : x
  2. Step 2: Convert to fraction form
    22,660.92/31,270.53 = 12,589.38/x
  3. Step 3: Cross multiply
    22,660.92x = 31,270.53 × 12,589.38
  4. Step 4: Simplify right side
    22,660.92x = 393,676,584.97
  5. Step 5: Solve for x
    x = 393,676,584.97/22,660.92
  6. Step 6: Final answer
    x = 17,372.49

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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.