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Finding the Fourth Proportional to 12,471.96, 17,213.45 and 11,911.44

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Solution

The fourth proportional to 12,471.96, 17,213.45 and 11,911.44 is: 16,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.96 : 17,213.45 = 11,911.44 : x
  2. Step 2: Convert to fraction form
    12,471.96/17,213.45 = 11,911.44/x
  3. Step 3: Cross multiply
    12,471.96x = 17,213.45 × 11,911.44
  4. Step 4: Simplify right side
    12,471.96x = 205,036,917.31
  5. Step 5: Solve for x
    x = 205,036,917.31/12,471.96
  6. Step 6: Final answer
    x = 16,439.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.