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Finding the Fourth Proportional to 12,181.96, 16,811.31 and 7,147.54

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Solution

The fourth proportional to 12,181.96, 16,811.31 and 7,147.54 is: 9,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.96 : 16,811.31 = 7,147.54 : x
  2. Step 2: Convert to fraction form
    12,181.96/16,811.31 = 7,147.54/x
  3. Step 3: Cross multiply
    12,181.96x = 16,811.31 × 7,147.54
  4. Step 4: Simplify right side
    12,181.96x = 120,159,510.68
  5. Step 5: Solve for x
    x = 120,159,510.68/12,181.96
  6. Step 6: Final answer
    x = 9,863.73

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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.