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Finding the Fourth Proportional to 16,772.24, 25,159 and 6,244.92

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Solution

The fourth proportional to 16,772.24, 25,159 and 6,244.92 is: 9,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.24 : 25,159 = 6,244.92 : x
  2. Step 2: Convert to fraction form
    16,772.24/25,159 = 6,244.92/x
  3. Step 3: Cross multiply
    16,772.24x = 25,159 × 6,244.92
  4. Step 4: Simplify right side
    16,772.24x = 157,115,942.28
  5. Step 5: Solve for x
    x = 157,115,942.28/16,772.24
  6. Step 6: Final answer
    x = 9,367.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.