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Finding the Fourth Proportional to 27,967.25, 41,940.89 and 9,243.83

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Solution

The fourth proportional to 27,967.25, 41,940.89 and 9,243.83 is: 13,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.25 : 41,940.89 = 9,243.83 : x
  2. Step 2: Convert to fraction form
    27,967.25/41,940.89 = 9,243.83/x
  3. Step 3: Cross multiply
    27,967.25x = 41,940.89 × 9,243.83
  4. Step 4: Simplify right side
    27,967.25x = 387,694,550.51
  5. Step 5: Solve for x
    x = 387,694,550.51/27,967.25
  6. Step 6: Final answer
    x = 13,862.45

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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.