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Finding the Fourth Proportional to 24,114.71, 36,177.64 and 7,473.87

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Solution

The fourth proportional to 24,114.71, 36,177.64 and 7,473.87 is: 11,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.71 : 36,177.64 = 7,473.87 : x
  2. Step 2: Convert to fraction form
    24,114.71/36,177.64 = 7,473.87/x
  3. Step 3: Cross multiply
    24,114.71x = 36,177.64 × 7,473.87
  4. Step 4: Simplify right side
    24,114.71x = 270,386,959.58
  5. Step 5: Solve for x
    x = 270,386,959.58/24,114.71
  6. Step 6: Final answer
    x = 11,212.53

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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.