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Finding the Fourth Proportional to 23,132, 34,722.98 and 11,469.90

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Solution

The fourth proportional to 23,132, 34,722.98 and 11,469.90 is: 17,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132 : 34,722.98 = 11,469.90 : x
  2. Step 2: Convert to fraction form
    23,132/34,722.98 = 11,469.90/x
  3. Step 3: Cross multiply
    23,132x = 34,722.98 × 11,469.90
  4. Step 4: Simplify right side
    23,132x = 398,269,108.30
  5. Step 5: Solve for x
    x = 398,269,108.30/23,132
  6. Step 6: Final answer
    x = 17,217.24

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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.