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Finding the Fourth Proportional to 27,200.32, 40,791.84 and 8,728

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Solution

The fourth proportional to 27,200.32, 40,791.84 and 8,728 is: 13,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.32 : 40,791.84 = 8,728 : x
  2. Step 2: Convert to fraction form
    27,200.32/40,791.84 = 8,728/x
  3. Step 3: Cross multiply
    27,200.32x = 40,791.84 × 8,728
  4. Step 4: Simplify right side
    27,200.32x = 356,031,179.52
  5. Step 5: Solve for x
    x = 356,031,179.52/27,200.32
  6. Step 6: Final answer
    x = 13,089.23

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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.