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Finding the Fourth Proportional to 38,238.27, 57,357.41 and 11,945.09

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Solution

The fourth proportional to 38,238.27, 57,357.41 and 11,945.09 is: 17,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238.27 : 57,357.41 = 11,945.09 : x
  2. Step 2: Convert to fraction form
    38,238.27/57,357.41 = 11,945.09/x
  3. Step 3: Cross multiply
    38,238.27x = 57,357.41 × 11,945.09
  4. Step 4: Simplify right side
    38,238.27x = 685,139,078.10
  5. Step 5: Solve for x
    x = 685,139,078.10/38,238.27
  6. Step 6: Final answer
    x = 17,917.63

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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.