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Finding the Fourth Proportional to 22,642.69, 33,968.31 and 10,162.41

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Solution

The fourth proportional to 22,642.69, 33,968.31 and 10,162.41 is: 15,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.69 : 33,968.31 = 10,162.41 : x
  2. Step 2: Convert to fraction form
    22,642.69/33,968.31 = 10,162.41/x
  3. Step 3: Cross multiply
    22,642.69x = 33,968.31 × 10,162.41
  4. Step 4: Simplify right side
    22,642.69x = 345,199,975.97
  5. Step 5: Solve for x
    x = 345,199,975.97/22,642.69
  6. Step 6: Final answer
    x = 15,245.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.