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Finding the Fourth Proportional to 13,213.67, 18,234.89 and 7,245.42

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Solution

The fourth proportional to 13,213.67, 18,234.89 and 7,245.42 is: 9,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.67 : 18,234.89 = 7,245.42 : x
  2. Step 2: Convert to fraction form
    13,213.67/18,234.89 = 7,245.42/x
  3. Step 3: Cross multiply
    13,213.67x = 18,234.89 × 7,245.42
  4. Step 4: Simplify right side
    13,213.67x = 132,119,359.27
  5. Step 5: Solve for x
    x = 132,119,359.27/13,213.67
  6. Step 6: Final answer
    x = 9,998.69

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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.