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Finding the Fourth Proportional to 22,638.04, 33,959.34 and 7,843.56

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Solution

The fourth proportional to 22,638.04, 33,959.34 and 7,843.56 is: 11,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.04 : 33,959.34 = 7,843.56 : x
  2. Step 2: Convert to fraction form
    22,638.04/33,959.34 = 7,843.56/x
  3. Step 3: Cross multiply
    22,638.04x = 33,959.34 × 7,843.56
  4. Step 4: Simplify right side
    22,638.04x = 266,362,120.85
  5. Step 5: Solve for x
    x = 266,362,120.85/22,638.04
  6. Step 6: Final answer
    x = 11,766.13

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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.