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Finding the Fourth Proportional to 13,614.12, 18,778.50 and 8,902.44

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Solution

The fourth proportional to 13,614.12, 18,778.50 and 8,902.44 is: 12,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.12 : 18,778.50 = 8,902.44 : x
  2. Step 2: Convert to fraction form
    13,614.12/18,778.50 = 8,902.44/x
  3. Step 3: Cross multiply
    13,614.12x = 18,778.50 × 8,902.44
  4. Step 4: Simplify right side
    13,614.12x = 167,174,469.54
  5. Step 5: Solve for x
    x = 167,174,469.54/13,614.12
  6. Step 6: Final answer
    x = 12,279.49

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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.