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Finding the Fourth Proportional to 11,694.42, 17,555.58 and 9,231.12

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Solution

The fourth proportional to 11,694.42, 17,555.58 and 9,231.12 is: 13,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.42 : 17,555.58 = 9,231.12 : x
  2. Step 2: Convert to fraction form
    11,694.42/17,555.58 = 9,231.12/x
  3. Step 3: Cross multiply
    11,694.42x = 17,555.58 × 9,231.12
  4. Step 4: Simplify right side
    11,694.42x = 162,057,665.65
  5. Step 5: Solve for x
    x = 162,057,665.65/11,694.42
  6. Step 6: Final answer
    x = 13,857.69

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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.