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Finding the Fourth Proportional to 22,108.38, 33,174.09 and 9,793.50

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Solution

The fourth proportional to 22,108.38, 33,174.09 and 9,793.50 is: 14,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,108.38 : 33,174.09 = 9,793.50 : x
  2. Step 2: Convert to fraction form
    22,108.38/33,174.09 = 9,793.50/x
  3. Step 3: Cross multiply
    22,108.38x = 33,174.09 × 9,793.50
  4. Step 4: Simplify right side
    22,108.38x = 324,890,450.42
  5. Step 5: Solve for x
    x = 324,890,450.42/22,108.38
  6. Step 6: Final answer
    x = 14,695.35

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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.