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Finding the Fourth Proportional to 12,268.31, 16,904.21 and 8,282.49

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Solution

The fourth proportional to 12,268.31, 16,904.21 and 8,282.49 is: 11,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.31 : 16,904.21 = 8,282.49 : x
  2. Step 2: Convert to fraction form
    12,268.31/16,904.21 = 8,282.49/x
  3. Step 3: Cross multiply
    12,268.31x = 16,904.21 × 8,282.49
  4. Step 4: Simplify right side
    12,268.31x = 140,008,908.87
  5. Step 5: Solve for x
    x = 140,008,908.87/12,268.31
  6. Step 6: Final answer
    x = 11,412.25

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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.