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Finding the Fourth Proportional to 38,198.36, 57,297.37 and 11,903.12

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Solution

The fourth proportional to 38,198.36, 57,297.37 and 11,903.12 is: 17,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.36 : 57,297.37 = 11,903.12 : x
  2. Step 2: Convert to fraction form
    38,198.36/57,297.37 = 11,903.12/x
  3. Step 3: Cross multiply
    38,198.36x = 57,297.37 × 11,903.12
  4. Step 4: Simplify right side
    38,198.36x = 682,017,470.79
  5. Step 5: Solve for x
    x = 682,017,470.79/38,198.36
  6. Step 6: Final answer
    x = 17,854.63

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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.