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Finding the Fourth Proportional to 12,879.92, 19,320.76 and 4,115.48

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Solution

The fourth proportional to 12,879.92, 19,320.76 and 4,115.48 is: 6,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.92 : 19,320.76 = 4,115.48 : x
  2. Step 2: Convert to fraction form
    12,879.92/19,320.76 = 4,115.48/x
  3. Step 3: Cross multiply
    12,879.92x = 19,320.76 × 4,115.48
  4. Step 4: Simplify right side
    12,879.92x = 79,514,201.36
  5. Step 5: Solve for x
    x = 79,514,201.36/12,879.92
  6. Step 6: Final answer
    x = 6,173.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.