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Finding the Fourth Proportional to 13,822.20, 20,757.60 and 13,384.80

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Solution

The fourth proportional to 13,822.20, 20,757.60 and 13,384.80 is: 20,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.20 : 20,757.60 = 13,384.80 : x
  2. Step 2: Convert to fraction form
    13,822.20/20,757.60 = 13,384.80/x
  3. Step 3: Cross multiply
    13,822.20x = 20,757.60 × 13,384.80
  4. Step 4: Simplify right side
    13,822.20x = 277,836,324.48
  5. Step 5: Solve for x
    x = 277,836,324.48/13,822.20
  6. Step 6: Final answer
    x = 20,100.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.