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Finding the Fourth Proportional to 20,105.96, 30,143.18 and 12,694.85

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Solution

The fourth proportional to 20,105.96, 30,143.18 and 12,694.85 is: 19,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.96 : 30,143.18 = 12,694.85 : x
  2. Step 2: Convert to fraction form
    20,105.96/30,143.18 = 12,694.85/x
  3. Step 3: Cross multiply
    20,105.96x = 30,143.18 × 12,694.85
  4. Step 4: Simplify right side
    20,105.96x = 382,663,218.53
  5. Step 5: Solve for x
    x = 382,663,218.53/20,105.96
  6. Step 6: Final answer
    x = 19,032.33

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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.