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Finding the Fourth Proportional to 20,147.88, 30,231.42 and 12,352.20

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Solution

The fourth proportional to 20,147.88, 30,231.42 and 12,352.20 is: 18,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.88 : 30,231.42 = 12,352.20 : x
  2. Step 2: Convert to fraction form
    20,147.88/30,231.42 = 12,352.20/x
  3. Step 3: Cross multiply
    20,147.88x = 30,231.42 × 12,352.20
  4. Step 4: Simplify right side
    20,147.88x = 373,424,546.12
  5. Step 5: Solve for x
    x = 373,424,546.12/20,147.88
  6. Step 6: Final answer
    x = 18,534.19

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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.