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Finding the Fourth Proportional to 22,229.82, 33,354.09 and 9,743.40

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Solution

The fourth proportional to 22,229.82, 33,354.09 and 9,743.40 is: 14,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.82 : 33,354.09 = 9,743.40 : x
  2. Step 2: Convert to fraction form
    22,229.82/33,354.09 = 9,743.40/x
  3. Step 3: Cross multiply
    22,229.82x = 33,354.09 × 9,743.40
  4. Step 4: Simplify right side
    22,229.82x = 324,982,240.51
  5. Step 5: Solve for x
    x = 324,982,240.51/22,229.82
  6. Step 6: Final answer
    x = 14,619.20

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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.