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Finding the Fourth Proportional to 17,057.67, 23,512.32 and 11,381.19

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Solution

The fourth proportional to 17,057.67, 23,512.32 and 11,381.19 is: 15,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.67 : 23,512.32 = 11,381.19 : x
  2. Step 2: Convert to fraction form
    17,057.67/23,512.32 = 11,381.19/x
  3. Step 3: Cross multiply
    17,057.67x = 23,512.32 × 11,381.19
  4. Step 4: Simplify right side
    17,057.67x = 267,598,181.26
  5. Step 5: Solve for x
    x = 267,598,181.26/17,057.67
  6. Step 6: Final answer
    x = 15,687.85

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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.