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Finding the Fourth Proportional to 20,035.82, 30,052.17 and 8,186.43

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Solution

The fourth proportional to 20,035.82, 30,052.17 and 8,186.43 is: 12,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.82 : 30,052.17 = 8,186.43 : x
  2. Step 2: Convert to fraction form
    20,035.82/30,052.17 = 8,186.43/x
  3. Step 3: Cross multiply
    20,035.82x = 30,052.17 × 8,186.43
  4. Step 4: Simplify right side
    20,035.82x = 246,019,986.05
  5. Step 5: Solve for x
    x = 246,019,986.05/20,035.82
  6. Step 6: Final answer
    x = 12,279.01

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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.