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Finding the Fourth Proportional to 16,279.50, 24,414.38 and 6,919.47

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Solution

The fourth proportional to 16,279.50, 24,414.38 and 6,919.47 is: 10,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.50 : 24,414.38 = 6,919.47 : x
  2. Step 2: Convert to fraction form
    16,279.50/24,414.38 = 6,919.47/x
  3. Step 3: Cross multiply
    16,279.50x = 24,414.38 × 6,919.47
  4. Step 4: Simplify right side
    16,279.50x = 168,934,648.31
  5. Step 5: Solve for x
    x = 168,934,648.31/16,279.50
  6. Step 6: Final answer
    x = 10,377.14

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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.