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Finding the Fourth Proportional to 18,678.38, 27,971.42 and 13,923.14

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Solution

The fourth proportional to 18,678.38, 27,971.42 and 13,923.14 is: 20,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.38 : 27,971.42 = 13,923.14 : x
  2. Step 2: Convert to fraction form
    18,678.38/27,971.42 = 13,923.14/x
  3. Step 3: Cross multiply
    18,678.38x = 27,971.42 × 13,923.14
  4. Step 4: Simplify right side
    18,678.38x = 389,449,891.61
  5. Step 5: Solve for x
    x = 389,449,891.61/18,678.38
  6. Step 6: Final answer
    x = 20,850.31

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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.