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Finding the Fourth Proportional to 27,797.72, 41,687.87 and 9,073.49

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Solution

The fourth proportional to 27,797.72, 41,687.87 and 9,073.49 is: 13,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.72 : 41,687.87 = 9,073.49 : x
  2. Step 2: Convert to fraction form
    27,797.72/41,687.87 = 9,073.49/x
  3. Step 3: Cross multiply
    27,797.72x = 41,687.87 × 9,073.49
  4. Step 4: Simplify right side
    27,797.72x = 378,254,217.76
  5. Step 5: Solve for x
    x = 378,254,217.76/27,797.72
  6. Step 6: Final answer
    x = 13,607.39

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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.