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Finding the Fourth Proportional to 11,589.21, 17,383.86 and 8,141.85

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Solution

The fourth proportional to 11,589.21, 17,383.86 and 8,141.85 is: 12,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.21 : 17,383.86 = 8,141.85 : x
  2. Step 2: Convert to fraction form
    11,589.21/17,383.86 = 8,141.85/x
  3. Step 3: Cross multiply
    11,589.21x = 17,383.86 × 8,141.85
  4. Step 4: Simplify right side
    11,589.21x = 141,536,780.54
  5. Step 5: Solve for x
    x = 141,536,780.54/11,589.21
  6. Step 6: Final answer
    x = 12,212.81

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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.