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Finding the Fourth Proportional to 19,843.23, 27,419.85 and 14,456.28

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Solution

The fourth proportional to 19,843.23, 27,419.85 and 14,456.28 is: 19,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.23 : 27,419.85 = 14,456.28 : x
  2. Step 2: Convert to fraction form
    19,843.23/27,419.85 = 14,456.28/x
  3. Step 3: Cross multiply
    19,843.23x = 27,419.85 × 14,456.28
  4. Step 4: Simplify right side
    19,843.23x = 396,389,029.16
  5. Step 5: Solve for x
    x = 396,389,029.16/19,843.23
  6. Step 6: Final answer
    x = 19,976.03

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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.