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Finding the Fourth Proportional to 11,961.98, 18,000.02 and 9,868.84

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Solution

The fourth proportional to 11,961.98, 18,000.02 and 9,868.84 is: 14,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.98 : 18,000.02 = 9,868.84 : x
  2. Step 2: Convert to fraction form
    11,961.98/18,000.02 = 9,868.84/x
  3. Step 3: Cross multiply
    11,961.98x = 18,000.02 × 9,868.84
  4. Step 4: Simplify right side
    11,961.98x = 177,639,297.05
  5. Step 5: Solve for x
    x = 177,639,297.05/11,961.98
  6. Step 6: Final answer
    x = 14,850.33

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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.