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Finding the Fourth Proportional to 38,174.92, 57,249.83 and 12,867.64

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Solution

The fourth proportional to 38,174.92, 57,249.83 and 12,867.64 is: 19,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.92 : 57,249.83 = 12,867.64 : x
  2. Step 2: Convert to fraction form
    38,174.92/57,249.83 = 12,867.64/x
  3. Step 3: Cross multiply
    38,174.92x = 57,249.83 × 12,867.64
  4. Step 4: Simplify right side
    38,174.92x = 736,670,202.50
  5. Step 5: Solve for x
    x = 736,670,202.50/38,174.92
  6. Step 6: Final answer
    x = 19,297.23

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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.