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Finding the Fourth Proportional to 16,472.54, 22,724.88 and 9,396.38

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Solution

The fourth proportional to 16,472.54, 22,724.88 and 9,396.38 is: 12,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.54 : 22,724.88 = 9,396.38 : x
  2. Step 2: Convert to fraction form
    16,472.54/22,724.88 = 9,396.38/x
  3. Step 3: Cross multiply
    16,472.54x = 22,724.88 × 9,396.38
  4. Step 4: Simplify right side
    16,472.54x = 213,531,607.93
  5. Step 5: Solve for x
    x = 213,531,607.93/16,472.54
  6. Step 6: Final answer
    x = 12,962.88

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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.