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Finding the Fourth Proportional to 12,241.82, 16,898.87 and 8,268.31

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Solution

The fourth proportional to 12,241.82, 16,898.87 and 8,268.31 is: 11,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.82 : 16,898.87 = 8,268.31 : x
  2. Step 2: Convert to fraction form
    12,241.82/16,898.87 = 8,268.31/x
  3. Step 3: Cross multiply
    12,241.82x = 16,898.87 × 8,268.31
  4. Step 4: Simplify right side
    12,241.82x = 139,725,075.14
  5. Step 5: Solve for x
    x = 139,725,075.14/12,241.82
  6. Step 6: Final answer
    x = 11,413.75

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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.