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Finding the Fourth Proportional to 20,076.80, 30,115.19 and 8,383.64

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Solution

The fourth proportional to 20,076.80, 30,115.19 and 8,383.64 is: 12,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.80 : 30,115.19 = 8,383.64 : x
  2. Step 2: Convert to fraction form
    20,076.80/30,115.19 = 8,383.64/x
  3. Step 3: Cross multiply
    20,076.80x = 30,115.19 × 8,383.64
  4. Step 4: Simplify right side
    20,076.80x = 252,474,781.87
  5. Step 5: Solve for x
    x = 252,474,781.87/20,076.80
  6. Step 6: Final answer
    x = 12,575.45

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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.