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Finding the Fourth Proportional to 20,167.89, 27,799.34 and 13,705.65

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Solution

The fourth proportional to 20,167.89, 27,799.34 and 13,705.65 is: 18,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.89 : 27,799.34 = 13,705.65 : x
  2. Step 2: Convert to fraction form
    20,167.89/27,799.34 = 13,705.65/x
  3. Step 3: Cross multiply
    20,167.89x = 27,799.34 × 13,705.65
  4. Step 4: Simplify right side
    20,167.89x = 381,007,885.27
  5. Step 5: Solve for x
    x = 381,007,885.27/20,167.89
  6. Step 6: Final answer
    x = 18,891.81

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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.