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Finding the Fourth Proportional to 20,027.24, 30,040.19 and 9,502.31

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Solution

The fourth proportional to 20,027.24, 30,040.19 and 9,502.31 is: 14,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.24 : 30,040.19 = 9,502.31 : x
  2. Step 2: Convert to fraction form
    20,027.24/30,040.19 = 9,502.31/x
  3. Step 3: Cross multiply
    20,027.24x = 30,040.19 × 9,502.31
  4. Step 4: Simplify right side
    20,027.24x = 285,451,000.13
  5. Step 5: Solve for x
    x = 285,451,000.13/20,027.24
  6. Step 6: Final answer
    x = 14,253.14

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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.