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Finding the Fourth Proportional to 27,195.12, 40,791.01 and 8,472.50

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Solution

The fourth proportional to 27,195.12, 40,791.01 and 8,472.50 is: 12,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,195.12 : 40,791.01 = 8,472.50 : x
  2. Step 2: Convert to fraction form
    27,195.12/40,791.01 = 8,472.50/x
  3. Step 3: Cross multiply
    27,195.12x = 40,791.01 × 8,472.50
  4. Step 4: Simplify right side
    27,195.12x = 345,601,740.20
  5. Step 5: Solve for x
    x = 345,601,740.20/27,195.12
  6. Step 6: Final answer
    x = 12,708.23

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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.