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Finding the Fourth Proportional to 17,540.88, 24,205.72 and 9,583.38

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Solution

The fourth proportional to 17,540.88, 24,205.72 and 9,583.38 is: 13,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.88 : 24,205.72 = 9,583.38 : x
  2. Step 2: Convert to fraction form
    17,540.88/24,205.72 = 9,583.38/x
  3. Step 3: Cross multiply
    17,540.88x = 24,205.72 × 9,583.38
  4. Step 4: Simplify right side
    17,540.88x = 231,972,612.93
  5. Step 5: Solve for x
    x = 231,972,612.93/17,540.88
  6. Step 6: Final answer
    x = 13,224.69

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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.