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Finding the Fourth Proportional to 27,892.91, 41,837.25 and 9,173.56

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Solution

The fourth proportional to 27,892.91, 41,837.25 and 9,173.56 is: 13,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.91 : 41,837.25 = 9,173.56 : x
  2. Step 2: Convert to fraction form
    27,892.91/41,837.25 = 9,173.56/x
  3. Step 3: Cross multiply
    27,892.91x = 41,837.25 × 9,173.56
  4. Step 4: Simplify right side
    27,892.91x = 383,796,313.92
  5. Step 5: Solve for x
    x = 383,796,313.92/27,892.91
  6. Step 6: Final answer
    x = 13,759.64

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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.