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Finding the Fourth Proportional to 16,245.54, 22,418.46 and 9,171.39

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Solution

The fourth proportional to 16,245.54, 22,418.46 and 9,171.39 is: 12,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.54 : 22,418.46 = 9,171.39 : x
  2. Step 2: Convert to fraction form
    16,245.54/22,418.46 = 9,171.39/x
  3. Step 3: Cross multiply
    16,245.54x = 22,418.46 × 9,171.39
  4. Step 4: Simplify right side
    16,245.54x = 205,608,439.86
  5. Step 5: Solve for x
    x = 205,608,439.86/16,245.54
  6. Step 6: Final answer
    x = 12,656.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.