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Finding the Fourth Proportional to 20,131.64, 30,207.13 and 8,294.05

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Solution

The fourth proportional to 20,131.64, 30,207.13 and 8,294.05 is: 12,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.64 : 30,207.13 = 8,294.05 : x
  2. Step 2: Convert to fraction form
    20,131.64/30,207.13 = 8,294.05/x
  3. Step 3: Cross multiply
    20,131.64x = 30,207.13 × 8,294.05
  4. Step 4: Simplify right side
    20,131.64x = 250,539,293.69
  5. Step 5: Solve for x
    x = 250,539,293.69/20,131.64
  6. Step 6: Final answer
    x = 12,445.05

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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.