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Finding the Fourth Proportional to 20,192.19, 27,863.82 and 12,638.19

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Solution

The fourth proportional to 20,192.19, 27,863.82 and 12,638.19 is: 17,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.19 : 27,863.82 = 12,638.19 : x
  2. Step 2: Convert to fraction form
    20,192.19/27,863.82 = 12,638.19/x
  3. Step 3: Cross multiply
    20,192.19x = 27,863.82 × 12,638.19
  4. Step 4: Simplify right side
    20,192.19x = 352,148,251.29
  5. Step 5: Solve for x
    x = 352,148,251.29/20,192.19
  6. Step 6: Final answer
    x = 17,439.82

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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.