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Finding the Fourth Proportional to 22,497.62, 31,036.28 and 14,542.38

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Solution

The fourth proportional to 22,497.62, 31,036.28 and 14,542.38 is: 20,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.62 : 31,036.28 = 14,542.38 : x
  2. Step 2: Convert to fraction form
    22,497.62/31,036.28 = 14,542.38/x
  3. Step 3: Cross multiply
    22,497.62x = 31,036.28 × 14,542.38
  4. Step 4: Simplify right side
    22,497.62x = 451,341,304.83
  5. Step 5: Solve for x
    x = 451,341,304.83/22,497.62
  6. Step 6: Final answer
    x = 20,061.74

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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.