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Finding the Fourth Proportional to 20,188.97, 27,874.49 and 12,638.35

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Solution

The fourth proportional to 20,188.97, 27,874.49 and 12,638.35 is: 17,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.97 : 27,874.49 = 12,638.35 : x
  2. Step 2: Convert to fraction form
    20,188.97/27,874.49 = 12,638.35/x
  3. Step 3: Cross multiply
    20,188.97x = 27,874.49 × 12,638.35
  4. Step 4: Simplify right side
    20,188.97x = 352,287,560.69
  5. Step 5: Solve for x
    x = 352,287,560.69/20,188.97
  6. Step 6: Final answer
    x = 17,449.51

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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.