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Finding the Fourth Proportional to 20,131.52, 30,191.20 and 8,442.14

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Solution

The fourth proportional to 20,131.52, 30,191.20 and 8,442.14 is: 12,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.52 : 30,191.20 = 8,442.14 : x
  2. Step 2: Convert to fraction form
    20,131.52/30,191.20 = 8,442.14/x
  3. Step 3: Cross multiply
    20,131.52x = 30,191.20 × 8,442.14
  4. Step 4: Simplify right side
    20,131.52x = 254,878,165.11
  5. Step 5: Solve for x
    x = 254,878,165.11/20,131.52
  6. Step 6: Final answer
    x = 12,660.65

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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.