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Finding the Fourth Proportional to 20,144.96, 30,217.44 and 7,662.10

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Solution

The fourth proportional to 20,144.96, 30,217.44 and 7,662.10 is: 11,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.96 : 30,217.44 = 7,662.10 : x
  2. Step 2: Convert to fraction form
    20,144.96/30,217.44 = 7,662.10/x
  3. Step 3: Cross multiply
    20,144.96x = 30,217.44 × 7,662.10
  4. Step 4: Simplify right side
    20,144.96x = 231,529,141.72
  5. Step 5: Solve for x
    x = 231,529,141.72/20,144.96
  6. Step 6: Final answer
    x = 11,493.15

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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.