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Finding the Fourth Proportional to 12,467.66, 18,685.72 and 5,445.82

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Solution

The fourth proportional to 12,467.66, 18,685.72 and 5,445.82 is: 8,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.66 : 18,685.72 = 5,445.82 : x
  2. Step 2: Convert to fraction form
    12,467.66/18,685.72 = 5,445.82/x
  3. Step 3: Cross multiply
    12,467.66x = 18,685.72 × 5,445.82
  4. Step 4: Simplify right side
    12,467.66x = 101,759,067.69
  5. Step 5: Solve for x
    x = 101,759,067.69/12,467.66
  6. Step 6: Final answer
    x = 8,161.84

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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.