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Finding the Fourth Proportional to 20,200.56, 30,297.60 and 6,352.80

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Solution

The fourth proportional to 20,200.56, 30,297.60 and 6,352.80 is: 9,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.56 : 30,297.60 = 6,352.80 : x
  2. Step 2: Convert to fraction form
    20,200.56/30,297.60 = 6,352.80/x
  3. Step 3: Cross multiply
    20,200.56x = 30,297.60 × 6,352.80
  4. Step 4: Simplify right side
    20,200.56x = 192,474,593.28
  5. Step 5: Solve for x
    x = 192,474,593.28/20,200.56
  6. Step 6: Final answer
    x = 9,528.18

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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.