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Finding the Fourth Proportional to 12,614.27, 18,886.77 and 10,268.78

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Solution

The fourth proportional to 12,614.27, 18,886.77 and 10,268.78 is: 15,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.27 : 18,886.77 = 10,268.78 : x
  2. Step 2: Convert to fraction form
    12,614.27/18,886.77 = 10,268.78/x
  3. Step 3: Cross multiply
    12,614.27x = 18,886.77 × 10,268.78
  4. Step 4: Simplify right side
    12,614.27x = 193,943,991.61
  5. Step 5: Solve for x
    x = 193,943,991.61/12,614.27
  6. Step 6: Final answer
    x = 15,374.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.