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Finding the Fourth Proportional to 24,542.82, 36,791.55 and 8,949.54

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Solution

The fourth proportional to 24,542.82, 36,791.55 and 8,949.54 is: 13,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.82 : 36,791.55 = 8,949.54 : x
  2. Step 2: Convert to fraction form
    24,542.82/36,791.55 = 8,949.54/x
  3. Step 3: Cross multiply
    24,542.82x = 36,791.55 × 8,949.54
  4. Step 4: Simplify right side
    24,542.82x = 329,267,448.39
  5. Step 5: Solve for x
    x = 329,267,448.39/24,542.82
  6. Step 6: Final answer
    x = 13,416.04

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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.