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Finding the Fourth Proportional to 27,468.25, 41,177.94 and 9,934.18

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Solution

The fourth proportional to 27,468.25, 41,177.94 and 9,934.18 is: 14,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.25 : 41,177.94 = 9,934.18 : x
  2. Step 2: Convert to fraction form
    27,468.25/41,177.94 = 9,934.18/x
  3. Step 3: Cross multiply
    27,468.25x = 41,177.94 × 9,934.18
  4. Step 4: Simplify right side
    27,468.25x = 409,069,067.99
  5. Step 5: Solve for x
    x = 409,069,067.99/27,468.25
  6. Step 6: Final answer
    x = 14,892.43

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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.