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Finding the Fourth Proportional to 13,202.76, 18,219.20 and 7,234.22

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Solution

The fourth proportional to 13,202.76, 18,219.20 and 7,234.22 is: 9,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.76 : 18,219.20 = 7,234.22 : x
  2. Step 2: Convert to fraction form
    13,202.76/18,219.20 = 7,234.22/x
  3. Step 3: Cross multiply
    13,202.76x = 18,219.20 × 7,234.22
  4. Step 4: Simplify right side
    13,202.76x = 131,801,701.02
  5. Step 5: Solve for x
    x = 131,801,701.02/13,202.76
  6. Step 6: Final answer
    x = 9,982.89

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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.