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Finding the Fourth Proportional to 20,132.20, 30,198.30 and 12,769.30

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Solution

The fourth proportional to 20,132.20, 30,198.30 and 12,769.30 is: 19,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.20 : 30,198.30 = 12,769.30 : x
  2. Step 2: Convert to fraction form
    20,132.20/30,198.30 = 12,769.30/x
  3. Step 3: Cross multiply
    20,132.20x = 30,198.30 × 12,769.30
  4. Step 4: Simplify right side
    20,132.20x = 385,611,152.19
  5. Step 5: Solve for x
    x = 385,611,152.19/20,132.20
  6. Step 6: Final answer
    x = 19,153.95

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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.