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Finding the Fourth Proportional to 24,114.69, 36,177.66 and 7,473.87

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Solution

The fourth proportional to 24,114.69, 36,177.66 and 7,473.87 is: 11,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.69 : 36,177.66 = 7,473.87 : x
  2. Step 2: Convert to fraction form
    24,114.69/36,177.66 = 7,473.87/x
  3. Step 3: Cross multiply
    24,114.69x = 36,177.66 × 7,473.87
  4. Step 4: Simplify right side
    24,114.69x = 270,387,127.74
  5. Step 5: Solve for x
    x = 270,387,127.74/24,114.69
  6. Step 6: Final answer
    x = 11,212.55

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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.