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Finding the Fourth Proportional to 20,120.73, 30,181.74 and 9,591.90

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Solution

The fourth proportional to 20,120.73, 30,181.74 and 9,591.90 is: 14,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.73 : 30,181.74 = 9,591.90 : x
  2. Step 2: Convert to fraction form
    20,120.73/30,181.74 = 9,591.90/x
  3. Step 3: Cross multiply
    20,120.73x = 30,181.74 × 9,591.90
  4. Step 4: Simplify right side
    20,120.73x = 289,500,309.12
  5. Step 5: Solve for x
    x = 289,500,309.12/20,120.73
  6. Step 6: Final answer
    x = 14,388.16

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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.