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Finding the Fourth Proportional to 22,376.26, 33,568.38 and 9,221.44

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Solution

The fourth proportional to 22,376.26, 33,568.38 and 9,221.44 is: 13,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.26 : 33,568.38 = 9,221.44 : x
  2. Step 2: Convert to fraction form
    22,376.26/33,568.38 = 9,221.44/x
  3. Step 3: Cross multiply
    22,376.26x = 33,568.38 × 9,221.44
  4. Step 4: Simplify right side
    22,376.26x = 309,548,802.07
  5. Step 5: Solve for x
    x = 309,548,802.07/22,376.26
  6. Step 6: Final answer
    x = 13,833.80

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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.