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Finding the Fourth Proportional to 20,174.10, 30,239.55 and 9,078.90

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Solution

The fourth proportional to 20,174.10, 30,239.55 and 9,078.90 is: 13,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.10 : 30,239.55 = 9,078.90 : x
  2. Step 2: Convert to fraction form
    20,174.10/30,239.55 = 9,078.90/x
  3. Step 3: Cross multiply
    20,174.10x = 30,239.55 × 9,078.90
  4. Step 4: Simplify right side
    20,174.10x = 274,541,850.50
  5. Step 5: Solve for x
    x = 274,541,850.50/20,174.10
  6. Step 6: Final answer
    x = 13,608.63

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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.