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Finding the Fourth Proportional to 20,450.96, 30,676.39 and 5,659.83

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Solution

The fourth proportional to 20,450.96, 30,676.39 and 5,659.83 is: 8,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450.96 : 30,676.39 = 5,659.83 : x
  2. Step 2: Convert to fraction form
    20,450.96/30,676.39 = 5,659.83/x
  3. Step 3: Cross multiply
    20,450.96x = 30,676.39 × 5,659.83
  4. Step 4: Simplify right side
    20,450.96x = 173,623,152.41
  5. Step 5: Solve for x
    x = 173,623,152.41/20,450.96
  6. Step 6: Final answer
    x = 8,489.73

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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.