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Finding the Fourth Proportional to 16,863.24, 23,269.92 and 9,694.32

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Solution

The fourth proportional to 16,863.24, 23,269.92 and 9,694.32 is: 13,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.24 : 23,269.92 = 9,694.32 : x
  2. Step 2: Convert to fraction form
    16,863.24/23,269.92 = 9,694.32/x
  3. Step 3: Cross multiply
    16,863.24x = 23,269.92 × 9,694.32
  4. Step 4: Simplify right side
    16,863.24x = 225,586,050.85
  5. Step 5: Solve for x
    x = 225,586,050.85/16,863.24
  6. Step 6: Final answer
    x = 13,377.38

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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.