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Finding the Fourth Proportional to 12,238.20, 16,879.32 and 8,253

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Solution

The fourth proportional to 12,238.20, 16,879.32 and 8,253 is: 11,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.20 : 16,879.32 = 8,253 : x
  2. Step 2: Convert to fraction form
    12,238.20/16,879.32 = 8,253/x
  3. Step 3: Cross multiply
    12,238.20x = 16,879.32 × 8,253
  4. Step 4: Simplify right side
    12,238.20x = 139,305,027.96
  5. Step 5: Solve for x
    x = 139,305,027.96/12,238.20
  6. Step 6: Final answer
    x = 11,382.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.