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Finding the Fourth Proportional to 17,396.39, 24,007.16 and 10,224.38

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Solution

The fourth proportional to 17,396.39, 24,007.16 and 10,224.38 is: 14,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,396.39 : 24,007.16 = 10,224.38 : x
  2. Step 2: Convert to fraction form
    17,396.39/24,007.16 = 10,224.38/x
  3. Step 3: Cross multiply
    17,396.39x = 24,007.16 × 10,224.38
  4. Step 4: Simplify right side
    17,396.39x = 245,458,326.56
  5. Step 5: Solve for x
    x = 245,458,326.56/17,396.39
  6. Step 6: Final answer
    x = 14,109.73

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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.