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Finding the Fourth Proportional to 13,213.92, 18,234.96 and 7,549.56

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Solution

The fourth proportional to 13,213.92, 18,234.96 and 7,549.56 is: 10,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.92 : 18,234.96 = 7,549.56 : x
  2. Step 2: Convert to fraction form
    13,213.92/18,234.96 = 7,549.56/x
  3. Step 3: Cross multiply
    13,213.92x = 18,234.96 × 7,549.56
  4. Step 4: Simplify right side
    13,213.92x = 137,665,924.62
  5. Step 5: Solve for x
    x = 137,665,924.62/13,213.92
  6. Step 6: Final answer
    x = 10,418.25

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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.