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Finding the Fourth Proportional to 13,414.50, 20,121.66 and 4,649.49

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Solution

The fourth proportional to 13,414.50, 20,121.66 and 4,649.49 is: 6,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.50 : 20,121.66 = 4,649.49 : x
  2. Step 2: Convert to fraction form
    13,414.50/20,121.66 = 4,649.49/x
  3. Step 3: Cross multiply
    13,414.50x = 20,121.66 × 4,649.49
  4. Step 4: Simplify right side
    13,414.50x = 93,555,456.95
  5. Step 5: Solve for x
    x = 93,555,456.95/13,414.50
  6. Step 6: Final answer
    x = 6,974.20

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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.