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Finding the Fourth Proportional to 26,661.82, 39,987.81 and 9,791.14

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Solution

The fourth proportional to 26,661.82, 39,987.81 and 9,791.14 is: 14,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,661.82 : 39,987.81 = 9,791.14 : x
  2. Step 2: Convert to fraction form
    26,661.82/39,987.81 = 9,791.14/x
  3. Step 3: Cross multiply
    26,661.82x = 39,987.81 × 9,791.14
  4. Step 4: Simplify right side
    26,661.82x = 391,526,246.00
  5. Step 5: Solve for x
    x = 391,526,246.00/26,661.82
  6. Step 6: Final answer
    x = 14,684.90

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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.