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Finding the Fourth Proportional to 11,839.50, 17,770.19 and 6,000.21

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Solution

The fourth proportional to 11,839.50, 17,770.19 and 6,000.21 is: 9,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.50 : 17,770.19 = 6,000.21 : x
  2. Step 2: Convert to fraction form
    11,839.50/17,770.19 = 6,000.21/x
  3. Step 3: Cross multiply
    11,839.50x = 17,770.19 × 6,000.21
  4. Step 4: Simplify right side
    11,839.50x = 106,624,841.74
  5. Step 5: Solve for x
    x = 106,624,841.74/11,839.50
  6. Step 6: Final answer
    x = 9,005.86

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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.