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Finding the Fourth Proportional to 20,846.92, 31,317.42 and 12,103.24

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Solution

The fourth proportional to 20,846.92, 31,317.42 and 12,103.24 is: 18,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.92 : 31,317.42 = 12,103.24 : x
  2. Step 2: Convert to fraction form
    20,846.92/31,317.42 = 12,103.24/x
  3. Step 3: Cross multiply
    20,846.92x = 31,317.42 × 12,103.24
  4. Step 4: Simplify right side
    20,846.92x = 379,042,250.44
  5. Step 5: Solve for x
    x = 379,042,250.44/20,846.92
  6. Step 6: Final answer
    x = 18,182.17

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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.