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Finding the Fourth Proportional to 11,517.68, 17,138.26 and 11,478.80

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Solution

The fourth proportional to 11,517.68, 17,138.26 and 11,478.80 is: 17,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.68 : 17,138.26 = 11,478.80 : x
  2. Step 2: Convert to fraction form
    11,517.68/17,138.26 = 11,478.80/x
  3. Step 3: Cross multiply
    11,517.68x = 17,138.26 × 11,478.80
  4. Step 4: Simplify right side
    11,517.68x = 196,726,658.89
  5. Step 5: Solve for x
    x = 196,726,658.89/11,517.68
  6. Step 6: Final answer
    x = 17,080.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.