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Finding the Fourth Proportional to 13,701.41, 18,905.92 and 8,321.05

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Solution

The fourth proportional to 13,701.41, 18,905.92 and 8,321.05 is: 11,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.41 : 18,905.92 = 8,321.05 : x
  2. Step 2: Convert to fraction form
    13,701.41/18,905.92 = 8,321.05/x
  3. Step 3: Cross multiply
    13,701.41x = 18,905.92 × 8,321.05
  4. Step 4: Simplify right side
    13,701.41x = 157,317,105.62
  5. Step 5: Solve for x
    x = 157,317,105.62/13,701.41
  6. Step 6: Final answer
    x = 11,481.82

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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.