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Finding the Fourth Proportional to 27,757.76, 41,639.36 and 9,036.96

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Solution

The fourth proportional to 27,757.76, 41,639.36 and 9,036.96 is: 13,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.76 : 41,639.36 = 9,036.96 : x
  2. Step 2: Convert to fraction form
    27,757.76/41,639.36 = 9,036.96/x
  3. Step 3: Cross multiply
    27,757.76x = 41,639.36 × 9,036.96
  4. Step 4: Simplify right side
    27,757.76x = 376,293,230.75
  5. Step 5: Solve for x
    x = 376,293,230.75/27,757.76
  6. Step 6: Final answer
    x = 13,556.33

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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.