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Finding the Fourth Proportional to 12,884.30, 19,321.04 and 4,116.86

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Solution

The fourth proportional to 12,884.30, 19,321.04 and 4,116.86 is: 6,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.30 : 19,321.04 = 4,116.86 : x
  2. Step 2: Convert to fraction form
    12,884.30/19,321.04 = 4,116.86/x
  3. Step 3: Cross multiply
    12,884.30x = 19,321.04 × 4,116.86
  4. Step 4: Simplify right side
    12,884.30x = 79,542,016.73
  5. Step 5: Solve for x
    x = 79,542,016.73/12,884.30
  6. Step 6: Final answer
    x = 6,173.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.