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Finding the Fourth Proportional to 16,279, 24,418.62 and 3,967

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Solution

The fourth proportional to 16,279, 24,418.62 and 3,967 is: 5,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279 : 24,418.62 = 3,967 : x
  2. Step 2: Convert to fraction form
    16,279/24,418.62 = 3,967/x
  3. Step 3: Cross multiply
    16,279x = 24,418.62 × 3,967
  4. Step 4: Simplify right side
    16,279x = 96,868,665.54
  5. Step 5: Solve for x
    x = 96,868,665.54/16,279
  6. Step 6: Final answer
    x = 5,950.53

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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.