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Finding the Fourth Proportional to 17,142.75, 23,660.24 and 9,690.75

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Solution

The fourth proportional to 17,142.75, 23,660.24 and 9,690.75 is: 13,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.75 : 23,660.24 = 9,690.75 : x
  2. Step 2: Convert to fraction form
    17,142.75/23,660.24 = 9,690.75/x
  3. Step 3: Cross multiply
    17,142.75x = 23,660.24 × 9,690.75
  4. Step 4: Simplify right side
    17,142.75x = 229,285,422.33
  5. Step 5: Solve for x
    x = 229,285,422.33/17,142.75
  6. Step 6: Final answer
    x = 13,375.07

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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.