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Finding the Fourth Proportional to 12,231.74, 16,879.35 and 6,642.62

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Solution

The fourth proportional to 12,231.74, 16,879.35 and 6,642.62 is: 9,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.74 : 16,879.35 = 6,642.62 : x
  2. Step 2: Convert to fraction form
    12,231.74/16,879.35 = 6,642.62/x
  3. Step 3: Cross multiply
    12,231.74x = 16,879.35 × 6,642.62
  4. Step 4: Simplify right side
    12,231.74x = 112,123,107.90
  5. Step 5: Solve for x
    x = 112,123,107.90/12,231.74
  6. Step 6: Final answer
    x = 9,166.57

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