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Finding the Fourth Proportional to 12,080.41, 16,672.78 and 7,367.42

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Solution

The fourth proportional to 12,080.41, 16,672.78 and 7,367.42 is: 10,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.41 : 16,672.78 = 7,367.42 : x
  2. Step 2: Convert to fraction form
    12,080.41/16,672.78 = 7,367.42/x
  3. Step 3: Cross multiply
    12,080.41x = 16,672.78 × 7,367.42
  4. Step 4: Simplify right side
    12,080.41x = 122,835,372.83
  5. Step 5: Solve for x
    x = 122,835,372.83/12,080.41
  6. Step 6: Final answer
    x = 10,168.15

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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.