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Finding the Fourth Proportional to 12,865.96, 19,268.12 and 8,171.27

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Solution

The fourth proportional to 12,865.96, 19,268.12 and 8,171.27 is: 12,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.96 : 19,268.12 = 8,171.27 : x
  2. Step 2: Convert to fraction form
    12,865.96/19,268.12 = 8,171.27/x
  3. Step 3: Cross multiply
    12,865.96x = 19,268.12 × 8,171.27
  4. Step 4: Simplify right side
    12,865.96x = 157,445,010.91
  5. Step 5: Solve for x
    x = 157,445,010.91/12,865.96
  6. Step 6: Final answer
    x = 12,237.33

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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.