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Finding the Fourth Proportional to 20,920.62, 31,396.05 and 12,143.82

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Solution

The fourth proportional to 20,920.62, 31,396.05 and 12,143.82 is: 18,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.62 : 31,396.05 = 12,143.82 : x
  2. Step 2: Convert to fraction form
    20,920.62/31,396.05 = 12,143.82/x
  3. Step 3: Cross multiply
    20,920.62x = 31,396.05 × 12,143.82
  4. Step 4: Simplify right side
    20,920.62x = 381,267,979.91
  5. Step 5: Solve for x
    x = 381,267,979.91/20,920.62
  6. Step 6: Final answer
    x = 18,224.51

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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.