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Finding the Fourth Proportional to 12,992.70, 19,489.05 and 8,067.90

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Solution

The fourth proportional to 12,992.70, 19,489.05 and 8,067.90 is: 12,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.70 : 19,489.05 = 8,067.90 : x
  2. Step 2: Convert to fraction form
    12,992.70/19,489.05 = 8,067.90/x
  3. Step 3: Cross multiply
    12,992.70x = 19,489.05 × 8,067.90
  4. Step 4: Simplify right side
    12,992.70x = 157,235,706.50
  5. Step 5: Solve for x
    x = 157,235,706.50/12,992.70
  6. Step 6: Final answer
    x = 12,101.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.