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Finding the Fourth Proportional to 22,638.34, 33,949.82 and 7,843.81

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Solution

The fourth proportional to 22,638.34, 33,949.82 and 7,843.81 is: 11,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.34 : 33,949.82 = 7,843.81 : x
  2. Step 2: Convert to fraction form
    22,638.34/33,949.82 = 7,843.81/x
  3. Step 3: Cross multiply
    22,638.34x = 33,949.82 × 7,843.81
  4. Step 4: Simplify right side
    22,638.34x = 266,295,936.01
  5. Step 5: Solve for x
    x = 266,295,936.01/22,638.34
  6. Step 6: Final answer
    x = 11,763.05

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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.