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Finding the Fourth Proportional to 22,511.84, 33,769.20 and 8,660.84

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Solution

The fourth proportional to 22,511.84, 33,769.20 and 8,660.84 is: 12,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.84 : 33,769.20 = 8,660.84 : x
  2. Step 2: Convert to fraction form
    22,511.84/33,769.20 = 8,660.84/x
  3. Step 3: Cross multiply
    22,511.84x = 33,769.20 × 8,660.84
  4. Step 4: Simplify right side
    22,511.84x = 292,469,638.13
  5. Step 5: Solve for x
    x = 292,469,638.13/22,511.84
  6. Step 6: Final answer
    x = 12,991.81

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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.