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Finding the Fourth Proportional to 15,327, 22,974.15 and 8,739

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Solution

The fourth proportional to 15,327, 22,974.15 and 8,739 is: 13,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,327 : 22,974.15 = 8,739 : x
  2. Step 2: Convert to fraction form
    15,327/22,974.15 = 8,739/x
  3. Step 3: Cross multiply
    15,327x = 22,974.15 × 8,739
  4. Step 4: Simplify right side
    15,327x = 200,771,096.85
  5. Step 5: Solve for x
    x = 200,771,096.85/15,327
  6. Step 6: Final answer
    x = 13,099.18

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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.