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Finding the Fourth Proportional to 22,976.85, 34,469.88 and 10,493.52

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Solution

The fourth proportional to 22,976.85, 34,469.88 and 10,493.52 is: 15,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976.85 : 34,469.88 = 10,493.52 : x
  2. Step 2: Convert to fraction form
    22,976.85/34,469.88 = 10,493.52/x
  3. Step 3: Cross multiply
    22,976.85x = 34,469.88 × 10,493.52
  4. Step 4: Simplify right side
    22,976.85x = 361,710,375.18
  5. Step 5: Solve for x
    x = 361,710,375.18/22,976.85
  6. Step 6: Final answer
    x = 15,742.38

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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.