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Finding the Fourth Proportional to 17,017.75, 23,481.02 and 9,942.80

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Solution

The fourth proportional to 17,017.75, 23,481.02 and 9,942.80 is: 13,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017.75 : 23,481.02 = 9,942.80 : x
  2. Step 2: Convert to fraction form
    17,017.75/23,481.02 = 9,942.80/x
  3. Step 3: Cross multiply
    17,017.75x = 23,481.02 × 9,942.80
  4. Step 4: Simplify right side
    17,017.75x = 233,467,125.19
  5. Step 5: Solve for x
    x = 233,467,125.19/17,017.75
  6. Step 6: Final answer
    x = 13,719.04

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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.