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Finding the Fourth Proportional to 12,284.43, 16,951.73 and 6,979.20

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Solution

The fourth proportional to 12,284.43, 16,951.73 and 6,979.20 is: 9,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.43 : 16,951.73 = 6,979.20 : x
  2. Step 2: Convert to fraction form
    12,284.43/16,951.73 = 6,979.20/x
  3. Step 3: Cross multiply
    12,284.43x = 16,951.73 × 6,979.20
  4. Step 4: Simplify right side
    12,284.43x = 118,309,514.02
  5. Step 5: Solve for x
    x = 118,309,514.02/12,284.43
  6. Step 6: Final answer
    x = 9,630.85

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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.