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Finding the Fourth Proportional to 20,002.62, 30,000.81 and 6,851.97

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Solution

The fourth proportional to 20,002.62, 30,000.81 and 6,851.97 is: 10,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.62 : 30,000.81 = 6,851.97 : x
  2. Step 2: Convert to fraction form
    20,002.62/30,000.81 = 6,851.97/x
  3. Step 3: Cross multiply
    20,002.62x = 30,000.81 × 6,851.97
  4. Step 4: Simplify right side
    20,002.62x = 205,564,650.10
  5. Step 5: Solve for x
    x = 205,564,650.10/20,002.62
  6. Step 6: Final answer
    x = 10,276.89

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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.