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Finding the Fourth Proportional to 20,214.72, 27,864 and 13,487.04

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Solution

The fourth proportional to 20,214.72, 27,864 and 13,487.04 is: 18,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.72 : 27,864 = 13,487.04 : x
  2. Step 2: Convert to fraction form
    20,214.72/27,864 = 13,487.04/x
  3. Step 3: Cross multiply
    20,214.72x = 27,864 × 13,487.04
  4. Step 4: Simplify right side
    20,214.72x = 375,802,882.56
  5. Step 5: Solve for x
    x = 375,802,882.56/20,214.72
  6. Step 6: Final answer
    x = 18,590.56

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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.