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Finding the Fourth Proportional to 20,232.92, 30,349.44 and 11,057.24

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Solution

The fourth proportional to 20,232.92, 30,349.44 and 11,057.24 is: 16,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.92 : 30,349.44 = 11,057.24 : x
  2. Step 2: Convert to fraction form
    20,232.92/30,349.44 = 11,057.24/x
  3. Step 3: Cross multiply
    20,232.92x = 30,349.44 × 11,057.24
  4. Step 4: Simplify right side
    20,232.92x = 335,581,041.95
  5. Step 5: Solve for x
    x = 335,581,041.95/20,232.92
  6. Step 6: Final answer
    x = 16,585.89

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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.