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Finding the Fourth Proportional to 17,796.78, 24,560.04 and 9,839.51

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Solution

The fourth proportional to 17,796.78, 24,560.04 and 9,839.51 is: 13,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796.78 : 24,560.04 = 9,839.51 : x
  2. Step 2: Convert to fraction form
    17,796.78/24,560.04 = 9,839.51/x
  3. Step 3: Cross multiply
    17,796.78x = 24,560.04 × 9,839.51
  4. Step 4: Simplify right side
    17,796.78x = 241,658,765.38
  5. Step 5: Solve for x
    x = 241,658,765.38/17,796.78
  6. Step 6: Final answer
    x = 13,578.79

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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.