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Finding the Fourth Proportional to 20,226.75, 30,342.75 and 7,082.88

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Solution

The fourth proportional to 20,226.75, 30,342.75 and 7,082.88 is: 10,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.75 : 30,342.75 = 7,082.88 : x
  2. Step 2: Convert to fraction form
    20,226.75/30,342.75 = 7,082.88/x
  3. Step 3: Cross multiply
    20,226.75x = 30,342.75 × 7,082.88
  4. Step 4: Simplify right side
    20,226.75x = 214,914,057.12
  5. Step 5: Solve for x
    x = 214,914,057.12/20,226.75
  6. Step 6: Final answer
    x = 10,625.24

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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.