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Finding the Fourth Proportional to 12,286.18, 16,953.69 and 6,979.96

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Solution

The fourth proportional to 12,286.18, 16,953.69 and 6,979.96 is: 9,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.18 : 16,953.69 = 6,979.96 : x
  2. Step 2: Convert to fraction form
    12,286.18/16,953.69 = 6,979.96/x
  3. Step 3: Cross multiply
    12,286.18x = 16,953.69 × 6,979.96
  4. Step 4: Simplify right side
    12,286.18x = 118,336,078.05
  5. Step 5: Solve for x
    x = 118,336,078.05/12,286.18
  6. Step 6: Final answer
    x = 9,631.64

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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.