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Finding the Fourth Proportional to 21,843.26, 30,141.60 and 12,770.75

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Solution

The fourth proportional to 21,843.26, 30,141.60 and 12,770.75 is: 17,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.26 : 30,141.60 = 12,770.75 : x
  2. Step 2: Convert to fraction form
    21,843.26/30,141.60 = 12,770.75/x
  3. Step 3: Cross multiply
    21,843.26x = 30,141.60 × 12,770.75
  4. Step 4: Simplify right side
    21,843.26x = 384,930,687.49
  5. Step 5: Solve for x
    x = 384,930,687.49/21,843.26
  6. Step 6: Final answer
    x = 17,622.41

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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.