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Finding the Fourth Proportional to 12,092.30, 18,138.56 and 3,658.87

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Solution

The fourth proportional to 12,092.30, 18,138.56 and 3,658.87 is: 5,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.30 : 18,138.56 = 3,658.87 : x
  2. Step 2: Convert to fraction form
    12,092.30/18,138.56 = 3,658.87/x
  3. Step 3: Cross multiply
    12,092.30x = 18,138.56 × 3,658.87
  4. Step 4: Simplify right side
    12,092.30x = 66,366,524.04
  5. Step 5: Solve for x
    x = 66,366,524.04/12,092.30
  6. Step 6: Final answer
    x = 5,488.33

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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.