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Finding the Fourth Proportional to 27,591, 41,371.92 and 12,000.12

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Solution

The fourth proportional to 27,591, 41,371.92 and 12,000.12 is: 17,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591 : 41,371.92 = 12,000.12 : x
  2. Step 2: Convert to fraction form
    27,591/41,371.92 = 12,000.12/x
  3. Step 3: Cross multiply
    27,591x = 41,371.92 × 12,000.12
  4. Step 4: Simplify right side
    27,591x = 496,468,004.63
  5. Step 5: Solve for x
    x = 496,468,004.63/27,591
  6. Step 6: Final answer
    x = 17,993.84

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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.