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Finding the Fourth Proportional to 13,209.92, 18,229.68 and 7,241.60

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Solution

The fourth proportional to 13,209.92, 18,229.68 and 7,241.60 is: 9,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.92 : 18,229.68 = 7,241.60 : x
  2. Step 2: Convert to fraction form
    13,209.92/18,229.68 = 7,241.60/x
  3. Step 3: Cross multiply
    13,209.92x = 18,229.68 × 7,241.60
  4. Step 4: Simplify right side
    13,209.92x = 132,012,050.69
  5. Step 5: Solve for x
    x = 132,012,050.69/13,209.92
  6. Step 6: Final answer
    x = 9,993.40

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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.