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Finding the Fourth Proportional to 22,264.20, 33,398.55 and 8,227.98

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Solution

The fourth proportional to 22,264.20, 33,398.55 and 8,227.98 is: 12,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.20 : 33,398.55 = 8,227.98 : x
  2. Step 2: Convert to fraction form
    22,264.20/33,398.55 = 8,227.98/x
  3. Step 3: Cross multiply
    22,264.20x = 33,398.55 × 8,227.98
  4. Step 4: Simplify right side
    22,264.20x = 274,802,601.43
  5. Step 5: Solve for x
    x = 274,802,601.43/22,264.20
  6. Step 6: Final answer
    x = 12,342.80

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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.