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Finding the Fourth Proportional to 17,500.38, 24,150.35 and 9,542.45

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Solution

The fourth proportional to 17,500.38, 24,150.35 and 9,542.45 is: 13,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500.38 : 24,150.35 = 9,542.45 : x
  2. Step 2: Convert to fraction form
    17,500.38/24,150.35 = 9,542.45/x
  3. Step 3: Cross multiply
    17,500.38x = 24,150.35 × 9,542.45
  4. Step 4: Simplify right side
    17,500.38x = 230,453,338.89
  5. Step 5: Solve for x
    x = 230,453,338.89/17,500.38
  6. Step 6: Final answer
    x = 13,168.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.