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Finding the Fourth Proportional to 20,517.20, 30,768.60 and 10,653.20

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Solution

The fourth proportional to 20,517.20, 30,768.60 and 10,653.20 is: 15,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.20 : 30,768.60 = 10,653.20 : x
  2. Step 2: Convert to fraction form
    20,517.20/30,768.60 = 10,653.20/x
  3. Step 3: Cross multiply
    20,517.20x = 30,768.60 × 10,653.20
  4. Step 4: Simplify right side
    20,517.20x = 327,784,049.52
  5. Step 5: Solve for x
    x = 327,784,049.52/20,517.20
  6. Step 6: Final answer
    x = 15,976.06

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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.