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Finding the Fourth Proportional to 20,451.89, 30,678.52 and 5,659.57

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Solution

The fourth proportional to 20,451.89, 30,678.52 and 5,659.57 is: 8,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.89 : 30,678.52 = 5,659.57 : x
  2. Step 2: Convert to fraction form
    20,451.89/30,678.52 = 5,659.57/x
  3. Step 3: Cross multiply
    20,451.89x = 30,678.52 × 5,659.57
  4. Step 4: Simplify right side
    20,451.89x = 173,627,231.44
  5. Step 5: Solve for x
    x = 173,627,231.44/20,451.89
  6. Step 6: Final answer
    x = 8,489.54

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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.