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Finding the Fourth Proportional to 22,335.75, 33,477.66 and 8,286.82

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Solution

The fourth proportional to 22,335.75, 33,477.66 and 8,286.82 is: 12,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.75 : 33,477.66 = 8,286.82 : x
  2. Step 2: Convert to fraction form
    22,335.75/33,477.66 = 8,286.82/x
  3. Step 3: Cross multiply
    22,335.75x = 33,477.66 × 8,286.82
  4. Step 4: Simplify right side
    22,335.75x = 277,423,227.26
  5. Step 5: Solve for x
    x = 277,423,227.26/22,335.75
  6. Step 6: Final answer
    x = 12,420.59

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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.