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Finding the Fourth Proportional to 13,209.75, 18,228.87 and 7,241.22

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Solution

The fourth proportional to 13,209.75, 18,228.87 and 7,241.22 is: 9,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.75 : 18,228.87 = 7,241.22 : x
  2. Step 2: Convert to fraction form
    13,209.75/18,228.87 = 7,241.22/x
  3. Step 3: Cross multiply
    13,209.75x = 18,228.87 × 7,241.22
  4. Step 4: Simplify right side
    13,209.75x = 131,999,258.02
  5. Step 5: Solve for x
    x = 131,999,258.02/13,209.75
  6. Step 6: Final answer
    x = 9,992.56

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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.