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Finding the Fourth Proportional to 20,380.11, 30,543.84 and 9,127.22

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Solution

The fourth proportional to 20,380.11, 30,543.84 and 9,127.22 is: 13,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.11 : 30,543.84 = 9,127.22 : x
  2. Step 2: Convert to fraction form
    20,380.11/30,543.84 = 9,127.22/x
  3. Step 3: Cross multiply
    20,380.11x = 30,543.84 × 9,127.22
  4. Step 4: Simplify right side
    20,380.11x = 278,780,457.91
  5. Step 5: Solve for x
    x = 278,780,457.91/20,380.11
  6. Step 6: Final answer
    x = 13,679.05

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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.