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Finding the Fourth Proportional to 27,855.96, 41,770.23 and 9,132.54

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Solution

The fourth proportional to 27,855.96, 41,770.23 and 9,132.54 is: 13,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.96 : 41,770.23 = 9,132.54 : x
  2. Step 2: Convert to fraction form
    27,855.96/41,770.23 = 9,132.54/x
  3. Step 3: Cross multiply
    27,855.96x = 41,770.23 × 9,132.54
  4. Step 4: Simplify right side
    27,855.96x = 381,468,296.28
  5. Step 5: Solve for x
    x = 381,468,296.28/27,855.96
  6. Step 6: Final answer
    x = 13,694.32

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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.