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Finding the Fourth Proportional to 20,193.71, 27,863.09 and 12,234.39

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Solution

The fourth proportional to 20,193.71, 27,863.09 and 12,234.39 is: 16,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.71 : 27,863.09 = 12,234.39 : x
  2. Step 2: Convert to fraction form
    20,193.71/27,863.09 = 12,234.39/x
  3. Step 3: Cross multiply
    20,193.71x = 27,863.09 × 12,234.39
  4. Step 4: Simplify right side
    20,193.71x = 340,887,909.67
  5. Step 5: Solve for x
    x = 340,887,909.67/20,193.71
  6. Step 6: Final answer
    x = 16,880.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.