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Finding the Fourth Proportional to 22,023.31, 33,040 and 9,545.42

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Solution

The fourth proportional to 22,023.31, 33,040 and 9,545.42 is: 14,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.31 : 33,040 = 9,545.42 : x
  2. Step 2: Convert to fraction form
    22,023.31/33,040 = 9,545.42/x
  3. Step 3: Cross multiply
    22,023.31x = 33,040 × 9,545.42
  4. Step 4: Simplify right side
    22,023.31x = 315,380,676.80
  5. Step 5: Solve for x
    x = 315,380,676.80/22,023.31
  6. Step 6: Final answer
    x = 14,320.31

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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.