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Finding the Fourth Proportional to 19,843.36, 27,379.56 and 11,455

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Solution

The fourth proportional to 19,843.36, 27,379.56 and 11,455 is: 15,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.36 : 27,379.56 = 11,455 : x
  2. Step 2: Convert to fraction form
    19,843.36/27,379.56 = 11,455/x
  3. Step 3: Cross multiply
    19,843.36x = 27,379.56 × 11,455
  4. Step 4: Simplify right side
    19,843.36x = 313,632,859.80
  5. Step 5: Solve for x
    x = 313,632,859.80/19,843.36
  6. Step 6: Final answer
    x = 15,805.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.