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Finding the Fourth Proportional to 20,072.70, 30,108.12 and 8,385

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Solution

The fourth proportional to 20,072.70, 30,108.12 and 8,385 is: 12,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.70 : 30,108.12 = 8,385 : x
  2. Step 2: Convert to fraction form
    20,072.70/30,108.12 = 8,385/x
  3. Step 3: Cross multiply
    20,072.70x = 30,108.12 × 8,385
  4. Step 4: Simplify right side
    20,072.70x = 252,456,586.20
  5. Step 5: Solve for x
    x = 252,456,586.20/20,072.70
  6. Step 6: Final answer
    x = 12,577.11

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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.