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Finding the Fourth Proportional to 27,682.40, 41,454.14 and 17,108.97

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Solution

The fourth proportional to 27,682.40, 41,454.14 and 17,108.97 is: 25,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.40 : 41,454.14 = 17,108.97 : x
  2. Step 2: Convert to fraction form
    27,682.40/41,454.14 = 17,108.97/x
  3. Step 3: Cross multiply
    27,682.40x = 41,454.14 × 17,108.97
  4. Step 4: Simplify right side
    27,682.40x = 709,237,552.09
  5. Step 5: Solve for x
    x = 709,237,552.09/27,682.40
  6. Step 6: Final answer
    x = 25,620.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.