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Finding the Fourth Proportional to 11,494.60, 17,213.10 and 9,190.60

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Solution

The fourth proportional to 11,494.60, 17,213.10 and 9,190.60 is: 13,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.60 : 17,213.10 = 9,190.60 : x
  2. Step 2: Convert to fraction form
    11,494.60/17,213.10 = 9,190.60/x
  3. Step 3: Cross multiply
    11,494.60x = 17,213.10 × 9,190.60
  4. Step 4: Simplify right side
    11,494.60x = 158,198,716.86
  5. Step 5: Solve for x
    x = 158,198,716.86/11,494.60
  6. Step 6: Final answer
    x = 13,762.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.