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Finding the Fourth Proportional to 12,102.26, 18,153.83 and 3,337.83

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Solution

The fourth proportional to 12,102.26, 18,153.83 and 3,337.83 is: 5,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.26 : 18,153.83 = 3,337.83 : x
  2. Step 2: Convert to fraction form
    12,102.26/18,153.83 = 3,337.83/x
  3. Step 3: Cross multiply
    12,102.26x = 18,153.83 × 3,337.83
  4. Step 4: Simplify right side
    12,102.26x = 60,594,406.73
  5. Step 5: Solve for x
    x = 60,594,406.73/12,102.26
  6. Step 6: Final answer
    x = 5,006.87

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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.