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Finding the Fourth Proportional to 12,181.98, 16,811.92 and 6,874.86

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Solution

The fourth proportional to 12,181.98, 16,811.92 and 6,874.86 is: 9,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.98 : 16,811.92 = 6,874.86 : x
  2. Step 2: Convert to fraction form
    12,181.98/16,811.92 = 6,874.86/x
  3. Step 3: Cross multiply
    12,181.98x = 16,811.92 × 6,874.86
  4. Step 4: Simplify right side
    12,181.98x = 115,579,596.33
  5. Step 5: Solve for x
    x = 115,579,596.33/12,181.98
  6. Step 6: Final answer
    x = 9,487.75

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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.