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Finding the Fourth Proportional to 17,500.12, 24,149.68 and 9,542.50

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Solution

The fourth proportional to 17,500.12, 24,149.68 and 9,542.50 is: 13,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500.12 : 24,149.68 = 9,542.50 : x
  2. Step 2: Convert to fraction form
    17,500.12/24,149.68 = 9,542.50/x
  3. Step 3: Cross multiply
    17,500.12x = 24,149.68 × 9,542.50
  4. Step 4: Simplify right side
    17,500.12x = 230,448,321.40
  5. Step 5: Solve for x
    x = 230,448,321.40/17,500.12
  6. Step 6: Final answer
    x = 13,168.39

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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.