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Finding the Fourth Proportional to 17,084.75, 23,576.96 and 9,632.75

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Solution

The fourth proportional to 17,084.75, 23,576.96 and 9,632.75 is: 13,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.75 : 23,576.96 = 9,632.75 : x
  2. Step 2: Convert to fraction form
    17,084.75/23,576.96 = 9,632.75/x
  3. Step 3: Cross multiply
    17,084.75x = 23,576.96 × 9,632.75
  4. Step 4: Simplify right side
    17,084.75x = 227,110,961.44
  5. Step 5: Solve for x
    x = 227,110,961.44/17,084.75
  6. Step 6: Final answer
    x = 13,293.20

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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.