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Finding the Fourth Proportional to 11,738.16, 17,519.04 and 10,149.87

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Solution

The fourth proportional to 11,738.16, 17,519.04 and 10,149.87 is: 15,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.16 : 17,519.04 = 10,149.87 : x
  2. Step 2: Convert to fraction form
    11,738.16/17,519.04 = 10,149.87/x
  3. Step 3: Cross multiply
    11,738.16x = 17,519.04 × 10,149.87
  4. Step 4: Simplify right side
    11,738.16x = 177,815,978.52
  5. Step 5: Solve for x
    x = 177,815,978.52/11,738.16
  6. Step 6: Final answer
    x = 15,148.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.