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Finding the Fourth Proportional to 24,067.52, 36,101.12 and 6,537.28

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Solution

The fourth proportional to 24,067.52, 36,101.12 and 6,537.28 is: 9,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.52 : 36,101.12 = 6,537.28 : x
  2. Step 2: Convert to fraction form
    24,067.52/36,101.12 = 6,537.28/x
  3. Step 3: Cross multiply
    24,067.52x = 36,101.12 × 6,537.28
  4. Step 4: Simplify right side
    24,067.52x = 236,003,129.75
  5. Step 5: Solve for x
    x = 236,003,129.75/24,067.52
  6. Step 6: Final answer
    x = 9,805.88

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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.