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Finding the Fourth Proportional to 27,773.97, 41,608.63 and 13,717.54

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Solution

The fourth proportional to 27,773.97, 41,608.63 and 13,717.54 is: 20,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.97 : 41,608.63 = 13,717.54 : x
  2. Step 2: Convert to fraction form
    27,773.97/41,608.63 = 13,717.54/x
  3. Step 3: Cross multiply
    27,773.97x = 41,608.63 × 13,717.54
  4. Step 4: Simplify right side
    27,773.97x = 570,768,046.37
  5. Step 5: Solve for x
    x = 570,768,046.37/27,773.97
  6. Step 6: Final answer
    x = 20,550.47

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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.