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Finding the Fourth Proportional to 13,627.54, 20,441.26 and 3,766.80

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Solution

The fourth proportional to 13,627.54, 20,441.26 and 3,766.80 is: 5,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.54 : 20,441.26 = 3,766.80 : x
  2. Step 2: Convert to fraction form
    13,627.54/20,441.26 = 3,766.80/x
  3. Step 3: Cross multiply
    13,627.54x = 20,441.26 × 3,766.80
  4. Step 4: Simplify right side
    13,627.54x = 76,998,138.17
  5. Step 5: Solve for x
    x = 76,998,138.17/13,627.54
  6. Step 6: Final answer
    x = 5,650.19

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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.