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Finding the Fourth Proportional to 27,912.52, 41,864.46 and 8,189.02

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Solution

The fourth proportional to 27,912.52, 41,864.46 and 8,189.02 is: 12,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.52 : 41,864.46 = 8,189.02 : x
  2. Step 2: Convert to fraction form
    27,912.52/41,864.46 = 8,189.02/x
  3. Step 3: Cross multiply
    27,912.52x = 41,864.46 × 8,189.02
  4. Step 4: Simplify right side
    27,912.52x = 342,828,900.23
  5. Step 5: Solve for x
    x = 342,828,900.23/27,912.52
  6. Step 6: Final answer
    x = 12,282.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.