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Finding the Fourth Proportional to 11,617.92, 17,438.31 and 8,289.83

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Solution

The fourth proportional to 11,617.92, 17,438.31 and 8,289.83 is: 12,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.92 : 17,438.31 = 8,289.83 : x
  2. Step 2: Convert to fraction form
    11,617.92/17,438.31 = 8,289.83/x
  3. Step 3: Cross multiply
    11,617.92x = 17,438.31 × 8,289.83
  4. Step 4: Simplify right side
    11,617.92x = 144,560,538.20
  5. Step 5: Solve for x
    x = 144,560,538.20/11,617.92
  6. Step 6: Final answer
    x = 12,442.89

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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.