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Finding the Fourth Proportional to 16,214, 24,321 and 3,902

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Solution

The fourth proportional to 16,214, 24,321 and 3,902 is: 5,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214 : 24,321 = 3,902 : x
  2. Step 2: Convert to fraction form
    16,214/24,321 = 3,902/x
  3. Step 3: Cross multiply
    16,214x = 24,321 × 3,902
  4. Step 4: Simplify right side
    16,214x = 94,900,542
  5. Step 5: Solve for x
    x = 94,900,542/16,214
  6. Step 6: Final answer
    x = 5,853

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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.