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Finding the Fourth Proportional to 21,843.88, 30,144.49 and 12,414.26

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Solution

The fourth proportional to 21,843.88, 30,144.49 and 12,414.26 is: 17,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.88 : 30,144.49 = 12,414.26 : x
  2. Step 2: Convert to fraction form
    21,843.88/30,144.49 = 12,414.26/x
  3. Step 3: Cross multiply
    21,843.88x = 30,144.49 × 12,414.26
  4. Step 4: Simplify right side
    21,843.88x = 374,221,580.75
  5. Step 5: Solve for x
    x = 374,221,580.75/21,843.88
  6. Step 6: Final answer
    x = 17,131.65

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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.