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Finding the Fourth Proportional to 11,314.10, 17,007.60 and 8,049.80

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Solution

The fourth proportional to 11,314.10, 17,007.60 and 8,049.80 is: 12,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.10 : 17,007.60 = 8,049.80 : x
  2. Step 2: Convert to fraction form
    11,314.10/17,007.60 = 8,049.80/x
  3. Step 3: Cross multiply
    11,314.10x = 17,007.60 × 8,049.80
  4. Step 4: Simplify right side
    11,314.10x = 136,907,778.48
  5. Step 5: Solve for x
    x = 136,907,778.48/11,314.10
  6. Step 6: Final answer
    x = 12,100.63

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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.