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Finding the Fourth Proportional to 20,449.96, 30,674.90 and 5,658.83

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Solution

The fourth proportional to 20,449.96, 30,674.90 and 5,658.83 is: 8,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.96 : 30,674.90 = 5,658.83 : x
  2. Step 2: Convert to fraction form
    20,449.96/30,674.90 = 5,658.83/x
  3. Step 3: Cross multiply
    20,449.96x = 30,674.90 × 5,658.83
  4. Step 4: Simplify right side
    20,449.96x = 173,584,016.07
  5. Step 5: Solve for x
    x = 173,584,016.07/20,449.96
  6. Step 6: Final answer
    x = 8,488.23

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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.