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Finding the Fourth Proportional to 13,209.48, 18,229.05 and 7,241.13

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Solution

The fourth proportional to 13,209.48, 18,229.05 and 7,241.13 is: 9,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.48 : 18,229.05 = 7,241.13 : x
  2. Step 2: Convert to fraction form
    13,209.48/18,229.05 = 7,241.13/x
  3. Step 3: Cross multiply
    13,209.48x = 18,229.05 × 7,241.13
  4. Step 4: Simplify right side
    13,209.48x = 131,998,920.83
  5. Step 5: Solve for x
    x = 131,998,920.83/13,209.48
  6. Step 6: Final answer
    x = 9,992.74

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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.