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Finding the Fourth Proportional to 13,874.67, 20,819.70 and 6,083.28

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Solution

The fourth proportional to 13,874.67, 20,819.70 and 6,083.28 is: 9,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.67 : 20,819.70 = 6,083.28 : x
  2. Step 2: Convert to fraction form
    13,874.67/20,819.70 = 6,083.28/x
  3. Step 3: Cross multiply
    13,874.67x = 20,819.70 × 6,083.28
  4. Step 4: Simplify right side
    13,874.67x = 126,652,064.62
  5. Step 5: Solve for x
    x = 126,652,064.62/13,874.67
  6. Step 6: Final answer
    x = 9,128.29

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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.