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Finding the Fourth Proportional to 12,238.80, 16,891.92 and 8,460.96

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Solution

The fourth proportional to 12,238.80, 16,891.92 and 8,460.96 is: 11,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.80 : 16,891.92 = 8,460.96 : x
  2. Step 2: Convert to fraction form
    12,238.80/16,891.92 = 8,460.96/x
  3. Step 3: Cross multiply
    12,238.80x = 16,891.92 × 8,460.96
  4. Step 4: Simplify right side
    12,238.80x = 142,921,859.44
  5. Step 5: Solve for x
    x = 142,921,859.44/12,238.80
  6. Step 6: Final answer
    x = 11,677.77

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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.