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Finding the Fourth Proportional to 24,202.31, 36,173.70 and 21,824.97

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Solution

The fourth proportional to 24,202.31, 36,173.70 and 21,824.97 is: 32,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.31 : 36,173.70 = 21,824.97 : x
  2. Step 2: Convert to fraction form
    24,202.31/36,173.70 = 21,824.97/x
  3. Step 3: Cross multiply
    24,202.31x = 36,173.70 × 21,824.97
  4. Step 4: Simplify right side
    24,202.31x = 789,489,914.07
  5. Step 5: Solve for x
    x = 789,489,914.07/24,202.31
  6. Step 6: Final answer
    x = 32,620.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.