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Finding the Fourth Proportional to 12,280.09, 16,952.97 and 8,268.04

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Solution

The fourth proportional to 12,280.09, 16,952.97 and 8,268.04 is: 11,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.09 : 16,952.97 = 8,268.04 : x
  2. Step 2: Convert to fraction form
    12,280.09/16,952.97 = 8,268.04/x
  3. Step 3: Cross multiply
    12,280.09x = 16,952.97 × 8,268.04
  4. Step 4: Simplify right side
    12,280.09x = 140,167,834.08
  5. Step 5: Solve for x
    x = 140,167,834.08/12,280.09
  6. Step 6: Final answer
    x = 11,414.24

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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.