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Finding the Fourth Proportional to 13,381.89, 18,469.13 and 10,190.04

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Solution

The fourth proportional to 13,381.89, 18,469.13 and 10,190.04 is: 14,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.89 : 18,469.13 = 10,190.04 : x
  2. Step 2: Convert to fraction form
    13,381.89/18,469.13 = 10,190.04/x
  3. Step 3: Cross multiply
    13,381.89x = 18,469.13 × 10,190.04
  4. Step 4: Simplify right side
    13,381.89x = 188,201,122.52
  5. Step 5: Solve for x
    x = 188,201,122.52/13,381.89
  6. Step 6: Final answer
    x = 14,063.87

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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.