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Finding the Fourth Proportional to 11,656.26, 17,469.81 and 9,181.29

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Solution

The fourth proportional to 11,656.26, 17,469.81 and 9,181.29 is: 13,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.26 : 17,469.81 = 9,181.29 : x
  2. Step 2: Convert to fraction form
    11,656.26/17,469.81 = 9,181.29/x
  3. Step 3: Cross multiply
    11,656.26x = 17,469.81 × 9,181.29
  4. Step 4: Simplify right side
    11,656.26x = 160,395,391.85
  5. Step 5: Solve for x
    x = 160,395,391.85/11,656.26
  6. Step 6: Final answer
    x = 13,760.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.