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Finding the Fourth Proportional to 21,843.64, 30,144.26 and 12,414.02

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Solution

The fourth proportional to 21,843.64, 30,144.26 and 12,414.02 is: 17,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.64 : 30,144.26 = 12,414.02 : x
  2. Step 2: Convert to fraction form
    21,843.64/30,144.26 = 12,414.02/x
  3. Step 3: Cross multiply
    21,843.64x = 30,144.26 × 12,414.02
  4. Step 4: Simplify right side
    21,843.64x = 374,211,446.53
  5. Step 5: Solve for x
    x = 374,211,446.53/21,843.64
  6. Step 6: Final answer
    x = 17,131.37

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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.