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Finding the Fourth Proportional to 11,944.80, 17,902.44 and 4,144.50

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Solution

The fourth proportional to 11,944.80, 17,902.44 and 4,144.50 is: 6,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.80 : 17,902.44 = 4,144.50 : x
  2. Step 2: Convert to fraction form
    11,944.80/17,902.44 = 4,144.50/x
  3. Step 3: Cross multiply
    11,944.80x = 17,902.44 × 4,144.50
  4. Step 4: Simplify right side
    11,944.80x = 74,196,662.58
  5. Step 5: Solve for x
    x = 74,196,662.58/11,944.80
  6. Step 6: Final answer
    x = 6,211.63

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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.