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Finding the Fourth Proportional to 17,269.62, 23,830.38 and 9,715.78

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Solution

The fourth proportional to 17,269.62, 23,830.38 and 9,715.78 is: 13,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,269.62 : 23,830.38 = 9,715.78 : x
  2. Step 2: Convert to fraction form
    17,269.62/23,830.38 = 9,715.78/x
  3. Step 3: Cross multiply
    17,269.62x = 23,830.38 × 9,715.78
  4. Step 4: Simplify right side
    17,269.62x = 231,530,759.18
  5. Step 5: Solve for x
    x = 231,530,759.18/17,269.62
  6. Step 6: Final answer
    x = 13,406.83

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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.