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Finding the Fourth Proportional to 18,565.26, 27,847.89 and 6,864.78

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Solution

The fourth proportional to 18,565.26, 27,847.89 and 6,864.78 is: 10,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.26 : 27,847.89 = 6,864.78 : x
  2. Step 2: Convert to fraction form
    18,565.26/27,847.89 = 6,864.78/x
  3. Step 3: Cross multiply
    18,565.26x = 27,847.89 × 6,864.78
  4. Step 4: Simplify right side
    18,565.26x = 191,169,638.31
  5. Step 5: Solve for x
    x = 191,169,638.31/18,565.26
  6. Step 6: Final answer
    x = 10,297.17

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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.