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Finding the Fourth Proportional to 22,964.91, 34,440.48 and 8,171.88

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Solution

The fourth proportional to 22,964.91, 34,440.48 and 8,171.88 is: 12,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.91 : 34,440.48 = 8,171.88 : x
  2. Step 2: Convert to fraction form
    22,964.91/34,440.48 = 8,171.88/x
  3. Step 3: Cross multiply
    22,964.91x = 34,440.48 × 8,171.88
  4. Step 4: Simplify right side
    22,964.91x = 281,443,469.70
  5. Step 5: Solve for x
    x = 281,443,469.70/22,964.91
  6. Step 6: Final answer
    x = 12,255.37

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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.