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Finding the Fourth Proportional to 14,964.62, 22,447.08 and 7,171.61

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Solution

The fourth proportional to 14,964.62, 22,447.08 and 7,171.61 is: 10,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.62 : 22,447.08 = 7,171.61 : x
  2. Step 2: Convert to fraction form
    14,964.62/22,447.08 = 7,171.61/x
  3. Step 3: Cross multiply
    14,964.62x = 22,447.08 × 7,171.61
  4. Step 4: Simplify right side
    14,964.62x = 160,981,591.16
  5. Step 5: Solve for x
    x = 160,981,591.16/14,964.62
  6. Step 6: Final answer
    x = 10,757.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.