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Finding the Fourth Proportional to 17,856.40, 26,781.24 and 6,169.68

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Solution

The fourth proportional to 17,856.40, 26,781.24 and 6,169.68 is: 9,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.40 : 26,781.24 = 6,169.68 : x
  2. Step 2: Convert to fraction form
    17,856.40/26,781.24 = 6,169.68/x
  3. Step 3: Cross multiply
    17,856.40x = 26,781.24 × 6,169.68
  4. Step 4: Simplify right side
    17,856.40x = 165,231,680.80
  5. Step 5: Solve for x
    x = 165,231,680.80/17,856.40
  6. Step 6: Final answer
    x = 9,253.36

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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.