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Finding the Fourth Proportional to 22,131.72, 33,178.14 and 8,290.44

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Solution

The fourth proportional to 22,131.72, 33,178.14 and 8,290.44 is: 12,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131.72 : 33,178.14 = 8,290.44 : x
  2. Step 2: Convert to fraction form
    22,131.72/33,178.14 = 8,290.44/x
  3. Step 3: Cross multiply
    22,131.72x = 33,178.14 × 8,290.44
  4. Step 4: Simplify right side
    22,131.72x = 275,061,378.98
  5. Step 5: Solve for x
    x = 275,061,378.98/22,131.72
  6. Step 6: Final answer
    x = 12,428.38

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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.