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Finding the Fourth Proportional to 24,251.85, 36,377.64 and 6,721.20

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Solution

The fourth proportional to 24,251.85, 36,377.64 and 6,721.20 is: 10,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.85 : 36,377.64 = 6,721.20 : x
  2. Step 2: Convert to fraction form
    24,251.85/36,377.64 = 6,721.20/x
  3. Step 3: Cross multiply
    24,251.85x = 36,377.64 × 6,721.20
  4. Step 4: Simplify right side
    24,251.85x = 244,501,393.97
  5. Step 5: Solve for x
    x = 244,501,393.97/24,251.85
  6. Step 6: Final answer
    x = 10,081.76

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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.