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Finding the Fourth Proportional to 27,987.86, 41,969.91 and 11,351.54

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Solution

The fourth proportional to 27,987.86, 41,969.91 and 11,351.54 is: 17,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.86 : 41,969.91 = 11,351.54 : x
  2. Step 2: Convert to fraction form
    27,987.86/41,969.91 = 11,351.54/x
  3. Step 3: Cross multiply
    27,987.86x = 41,969.91 × 11,351.54
  4. Step 4: Simplify right side
    27,987.86x = 476,423,112.16
  5. Step 5: Solve for x
    x = 476,423,112.16/27,987.86
  6. Step 6: Final answer
    x = 17,022.49

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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.