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Finding the Fourth Proportional to 12,067.62, 18,087.40 and 7,141.42

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Solution

The fourth proportional to 12,067.62, 18,087.40 and 7,141.42 is: 10,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,067.62 : 18,087.40 = 7,141.42 : x
  2. Step 2: Convert to fraction form
    12,067.62/18,087.40 = 7,141.42/x
  3. Step 3: Cross multiply
    12,067.62x = 18,087.40 × 7,141.42
  4. Step 4: Simplify right side
    12,067.62x = 129,169,720.11
  5. Step 5: Solve for x
    x = 129,169,720.11/12,067.62
  6. Step 6: Final answer
    x = 10,703.83

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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.