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Finding the Fourth Proportional to 11,944.70, 17,917.86 and 3,179.42

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Solution

The fourth proportional to 11,944.70, 17,917.86 and 3,179.42 is: 4,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.70 : 17,917.86 = 3,179.42 : x
  2. Step 2: Convert to fraction form
    11,944.70/17,917.86 = 3,179.42/x
  3. Step 3: Cross multiply
    11,944.70x = 17,917.86 × 3,179.42
  4. Step 4: Simplify right side
    11,944.70x = 56,968,402.44
  5. Step 5: Solve for x
    x = 56,968,402.44/11,944.70
  6. Step 6: Final answer
    x = 4,769.35

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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.