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Finding the Fourth Proportional to 20,180.70, 30,234.60 and 12,380.40

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Solution

The fourth proportional to 20,180.70, 30,234.60 and 12,380.40 is: 18,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.70 : 30,234.60 = 12,380.40 : x
  2. Step 2: Convert to fraction form
    20,180.70/30,234.60 = 12,380.40/x
  3. Step 3: Cross multiply
    20,180.70x = 30,234.60 × 12,380.40
  4. Step 4: Simplify right side
    20,180.70x = 374,316,441.84
  5. Step 5: Solve for x
    x = 374,316,441.84/20,180.70
  6. Step 6: Final answer
    x = 18,548.24

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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.