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Finding the Fourth Proportional to 17,863.38, 24,651.21 and 9,905.52

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Solution

The fourth proportional to 17,863.38, 24,651.21 and 9,905.52 is: 13,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.38 : 24,651.21 = 9,905.52 : x
  2. Step 2: Convert to fraction form
    17,863.38/24,651.21 = 9,905.52/x
  3. Step 3: Cross multiply
    17,863.38x = 24,651.21 × 9,905.52
  4. Step 4: Simplify right side
    17,863.38x = 244,183,053.68
  5. Step 5: Solve for x
    x = 244,183,053.68/17,863.38
  6. Step 6: Final answer
    x = 13,669.48

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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.