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Finding the Fourth Proportional to 20,512.80, 30,769.20 and 10,123.20

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Solution

The fourth proportional to 20,512.80, 30,769.20 and 10,123.20 is: 15,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.80 : 30,769.20 = 10,123.20 : x
  2. Step 2: Convert to fraction form
    20,512.80/30,769.20 = 10,123.20/x
  3. Step 3: Cross multiply
    20,512.80x = 30,769.20 × 10,123.20
  4. Step 4: Simplify right side
    20,512.80x = 311,482,765.44
  5. Step 5: Solve for x
    x = 311,482,765.44/20,512.80
  6. Step 6: Final answer
    x = 15,184.80

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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.