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Finding the Fourth Proportional to 27,665.35, 41,487.84 and 9,891.22

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Solution

The fourth proportional to 27,665.35, 41,487.84 and 9,891.22 is: 14,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.35 : 41,487.84 = 9,891.22 : x
  2. Step 2: Convert to fraction form
    27,665.35/41,487.84 = 9,891.22/x
  3. Step 3: Cross multiply
    27,665.35x = 41,487.84 × 9,891.22
  4. Step 4: Simplify right side
    27,665.35x = 410,365,352.76
  5. Step 5: Solve for x
    x = 410,365,352.76/27,665.35
  6. Step 6: Final answer
    x = 14,833.19

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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.