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Finding the Fourth Proportional to 20,039.72, 30,065.34 and 6,000.80

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Solution

The fourth proportional to 20,039.72, 30,065.34 and 6,000.80 is: 9,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,039.72 : 30,065.34 = 6,000.80 : x
  2. Step 2: Convert to fraction form
    20,039.72/30,065.34 = 6,000.80/x
  3. Step 3: Cross multiply
    20,039.72x = 30,065.34 × 6,000.80
  4. Step 4: Simplify right side
    20,039.72x = 180,416,092.27
  5. Step 5: Solve for x
    x = 180,416,092.27/20,039.72
  6. Step 6: Final answer
    x = 9,002.92

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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.