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Finding the Fourth Proportional to 12,231.63, 16,879.89 and 7,451.77

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Solution

The fourth proportional to 12,231.63, 16,879.89 and 7,451.77 is: 10,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.63 : 16,879.89 = 7,451.77 : x
  2. Step 2: Convert to fraction form
    12,231.63/16,879.89 = 7,451.77/x
  3. Step 3: Cross multiply
    12,231.63x = 16,879.89 × 7,451.77
  4. Step 4: Simplify right side
    12,231.63x = 125,785,057.91
  5. Step 5: Solve for x
    x = 125,785,057.91/12,231.63
  6. Step 6: Final answer
    x = 10,283.59

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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.