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Finding the Fourth Proportional to 27,224.96, 40,811.52 and 8,744

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Solution

The fourth proportional to 27,224.96, 40,811.52 and 8,744 is: 13,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.96 : 40,811.52 = 8,744 : x
  2. Step 2: Convert to fraction form
    27,224.96/40,811.52 = 8,744/x
  3. Step 3: Cross multiply
    27,224.96x = 40,811.52 × 8,744
  4. Step 4: Simplify right side
    27,224.96x = 356,855,930.88
  5. Step 5: Solve for x
    x = 356,855,930.88/27,224.96
  6. Step 6: Final answer
    x = 13,107.68

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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.