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Finding the Fourth Proportional to 20,234.64, 30,356.06 and 7,096.26

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Solution

The fourth proportional to 20,234.64, 30,356.06 and 7,096.26 is: 10,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.64 : 30,356.06 = 7,096.26 : x
  2. Step 2: Convert to fraction form
    20,234.64/30,356.06 = 7,096.26/x
  3. Step 3: Cross multiply
    20,234.64x = 30,356.06 × 7,096.26
  4. Step 4: Simplify right side
    20,234.64x = 215,414,458.85
  5. Step 5: Solve for x
    x = 215,414,458.85/20,234.64
  6. Step 6: Final answer
    x = 10,645.83

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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.