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Finding the Fourth Proportional to 12,284.10, 16,952.51 and 6,979.82

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Solution

The fourth proportional to 12,284.10, 16,952.51 and 6,979.82 is: 9,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.10 : 16,952.51 = 6,979.82 : x
  2. Step 2: Convert to fraction form
    12,284.10/16,952.51 = 6,979.82/x
  3. Step 3: Cross multiply
    12,284.10x = 16,952.51 × 6,979.82
  4. Step 4: Simplify right side
    12,284.10x = 118,325,348.69
  5. Step 5: Solve for x
    x = 118,325,348.69/12,284.10
  6. Step 6: Final answer
    x = 9,632.40

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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.