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Finding the Fourth Proportional to 12,231.68, 16,879.38 and 6,642.68

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Solution

The fourth proportional to 12,231.68, 16,879.38 and 6,642.68 is: 9,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.68 : 16,879.38 = 6,642.68 : x
  2. Step 2: Convert to fraction form
    12,231.68/16,879.38 = 6,642.68/x
  3. Step 3: Cross multiply
    12,231.68x = 16,879.38 × 6,642.68
  4. Step 4: Simplify right side
    12,231.68x = 112,124,319.94
  5. Step 5: Solve for x
    x = 112,124,319.94/12,231.68
  6. Step 6: Final answer
    x = 9,166.71

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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.