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Finding the Fourth Proportional to 17,181.16, 23,757.72 and 13,638.22

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Solution

The fourth proportional to 17,181.16, 23,757.72 and 13,638.22 is: 18,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.16 : 23,757.72 = 13,638.22 : x
  2. Step 2: Convert to fraction form
    17,181.16/23,757.72 = 13,638.22/x
  3. Step 3: Cross multiply
    17,181.16x = 23,757.72 × 13,638.22
  4. Step 4: Simplify right side
    17,181.16x = 324,013,012.06
  5. Step 5: Solve for x
    x = 324,013,012.06/17,181.16
  6. Step 6: Final answer
    x = 18,858.62

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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.