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Finding the Fourth Proportional to 12,194.64, 18,294.52 and 3,986

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Solution

The fourth proportional to 12,194.64, 18,294.52 and 3,986 is: 5,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.64 : 18,294.52 = 3,986 : x
  2. Step 2: Convert to fraction form
    12,194.64/18,294.52 = 3,986/x
  3. Step 3: Cross multiply
    12,194.64x = 18,294.52 × 3,986
  4. Step 4: Simplify right side
    12,194.64x = 72,921,956.72
  5. Step 5: Solve for x
    x = 72,921,956.72/12,194.64
  6. Step 6: Final answer
    x = 5,979.84

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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.