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Finding the Fourth Proportional to 16,234, 24,351 and 3,922

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Solution

The fourth proportional to 16,234, 24,351 and 3,922 is: 5,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234 : 24,351 = 3,922 : x
  2. Step 2: Convert to fraction form
    16,234/24,351 = 3,922/x
  3. Step 3: Cross multiply
    16,234x = 24,351 × 3,922
  4. Step 4: Simplify right side
    16,234x = 95,504,622
  5. Step 5: Solve for x
    x = 95,504,622/16,234
  6. Step 6: Final answer
    x = 5,883

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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.