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Finding the Fourth Proportional to 20,120.64, 30,169.44 and 7,794.24

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Solution

The fourth proportional to 20,120.64, 30,169.44 and 7,794.24 is: 11,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.64 : 30,169.44 = 7,794.24 : x
  2. Step 2: Convert to fraction form
    20,120.64/30,169.44 = 7,794.24/x
  3. Step 3: Cross multiply
    20,120.64x = 30,169.44 × 7,794.24
  4. Step 4: Simplify right side
    20,120.64x = 235,147,856.03
  5. Step 5: Solve for x
    x = 235,147,856.03/20,120.64
  6. Step 6: Final answer
    x = 11,686.90

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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.