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Finding the Fourth Proportional to 27,674.28, 41,512.86 and 9,207.72

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Solution

The fourth proportional to 27,674.28, 41,512.86 and 9,207.72 is: 13,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.28 : 41,512.86 = 9,207.72 : x
  2. Step 2: Convert to fraction form
    27,674.28/41,512.86 = 9,207.72/x
  3. Step 3: Cross multiply
    27,674.28x = 41,512.86 × 9,207.72
  4. Step 4: Simplify right side
    27,674.28x = 382,238,791.28
  5. Step 5: Solve for x
    x = 382,238,791.28/27,674.28
  6. Step 6: Final answer
    x = 13,812.06

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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.