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Finding the Fourth Proportional to 20,509.28, 30,766.48 and 8,027.70

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Solution

The fourth proportional to 20,509.28, 30,766.48 and 8,027.70 is: 12,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.28 : 30,766.48 = 8,027.70 : x
  2. Step 2: Convert to fraction form
    20,509.28/30,766.48 = 8,027.70/x
  3. Step 3: Cross multiply
    20,509.28x = 30,766.48 × 8,027.70
  4. Step 4: Simplify right side
    20,509.28x = 246,984,071.50
  5. Step 5: Solve for x
    x = 246,984,071.50/20,509.28
  6. Step 6: Final answer
    x = 12,042.55

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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.