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Finding the Fourth Proportional to 20,002.10, 30,007.20 and 6,855.80

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Solution

The fourth proportional to 20,002.10, 30,007.20 and 6,855.80 is: 10,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.10 : 30,007.20 = 6,855.80 : x
  2. Step 2: Convert to fraction form
    20,002.10/30,007.20 = 6,855.80/x
  3. Step 3: Cross multiply
    20,002.10x = 30,007.20 × 6,855.80
  4. Step 4: Simplify right side
    20,002.10x = 205,723,361.76
  5. Step 5: Solve for x
    x = 205,723,361.76/20,002.10
  6. Step 6: Final answer
    x = 10,285.09

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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.