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Finding the Fourth Proportional to 11,825.70, 17,707.24 and 7,139.44

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Solution

The fourth proportional to 11,825.70, 17,707.24 and 7,139.44 is: 10,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.70 : 17,707.24 = 7,139.44 : x
  2. Step 2: Convert to fraction form
    11,825.70/17,707.24 = 7,139.44/x
  3. Step 3: Cross multiply
    11,825.70x = 17,707.24 × 7,139.44
  4. Step 4: Simplify right side
    11,825.70x = 126,419,777.55
  5. Step 5: Solve for x
    x = 126,419,777.55/11,825.70
  6. Step 6: Final answer
    x = 10,690.26

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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.