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Finding the Fourth Proportional to 27,839.36, 41,761.78 and 9,118.64

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Solution

The fourth proportional to 27,839.36, 41,761.78 and 9,118.64 is: 13,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,839.36 : 41,761.78 = 9,118.64 : x
  2. Step 2: Convert to fraction form
    27,839.36/41,761.78 = 9,118.64/x
  3. Step 3: Cross multiply
    27,839.36x = 41,761.78 × 9,118.64
  4. Step 4: Simplify right side
    27,839.36x = 380,810,719.19
  5. Step 5: Solve for x
    x = 380,810,719.19/27,839.36
  6. Step 6: Final answer
    x = 13,678.86

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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.