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Finding the Fourth Proportional to 20,800.20, 31,213.32 and 8,318.40

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Solution

The fourth proportional to 20,800.20, 31,213.32 and 8,318.40 is: 12,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.20 : 31,213.32 = 8,318.40 : x
  2. Step 2: Convert to fraction form
    20,800.20/31,213.32 = 8,318.40/x
  3. Step 3: Cross multiply
    20,800.20x = 31,213.32 × 8,318.40
  4. Step 4: Simplify right side
    20,800.20x = 259,644,881.09
  5. Step 5: Solve for x
    x = 259,644,881.09/20,800.20
  6. Step 6: Final answer
    x = 12,482.81

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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.