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Finding the Fourth Proportional to 12,241.96, 18,338.24 and 8,071.68

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Solution

The fourth proportional to 12,241.96, 18,338.24 and 8,071.68 is: 12,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.96 : 18,338.24 = 8,071.68 : x
  2. Step 2: Convert to fraction form
    12,241.96/18,338.24 = 8,071.68/x
  3. Step 3: Cross multiply
    12,241.96x = 18,338.24 × 8,071.68
  4. Step 4: Simplify right side
    12,241.96x = 148,020,405.04
  5. Step 5: Solve for x
    x = 148,020,405.04/12,241.96
  6. Step 6: Final answer
    x = 12,091.23

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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.