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Finding the Fourth Proportional to 22,793.53, 34,193.91 and 9,646

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Solution

The fourth proportional to 22,793.53, 34,193.91 and 9,646 is: 14,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,793.53 : 34,193.91 = 9,646 : x
  2. Step 2: Convert to fraction form
    22,793.53/34,193.91 = 9,646/x
  3. Step 3: Cross multiply
    22,793.53x = 34,193.91 × 9,646
  4. Step 4: Simplify right side
    22,793.53x = 329,834,455.86
  5. Step 5: Solve for x
    x = 329,834,455.86/22,793.53
  6. Step 6: Final answer
    x = 14,470.53

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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.