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Finding the Fourth Proportional to 22,161.49, 33,248.49 and 9,023.29

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Solution

The fourth proportional to 22,161.49, 33,248.49 and 9,023.29 is: 13,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.49 : 33,248.49 = 9,023.29 : x
  2. Step 2: Convert to fraction form
    22,161.49/33,248.49 = 9,023.29/x
  3. Step 3: Cross multiply
    22,161.49x = 33,248.49 × 9,023.29
  4. Step 4: Simplify right side
    22,161.49x = 300,010,767.33
  5. Step 5: Solve for x
    x = 300,010,767.33/22,161.49
  6. Step 6: Final answer
    x = 13,537.48

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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.