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Finding the Fourth Proportional to 27,687.69, 41,538.15 and 8,967.75

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Solution

The fourth proportional to 27,687.69, 41,538.15 and 8,967.75 is: 13,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.69 : 41,538.15 = 8,967.75 : x
  2. Step 2: Convert to fraction form
    27,687.69/41,538.15 = 8,967.75/x
  3. Step 3: Cross multiply
    27,687.69x = 41,538.15 × 8,967.75
  4. Step 4: Simplify right side
    27,687.69x = 372,503,744.66
  5. Step 5: Solve for x
    x = 372,503,744.66/27,687.69
  6. Step 6: Final answer
    x = 13,453.77

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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.