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Finding the Fourth Proportional to 17,277.96, 23,843.62 and 9,825.96

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Solution

The fourth proportional to 17,277.96, 23,843.62 and 9,825.96 is: 13,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.96 : 23,843.62 = 9,825.96 : x
  2. Step 2: Convert to fraction form
    17,277.96/23,843.62 = 9,825.96/x
  3. Step 3: Cross multiply
    17,277.96x = 23,843.62 × 9,825.96
  4. Step 4: Simplify right side
    17,277.96x = 234,286,456.38
  5. Step 5: Solve for x
    x = 234,286,456.38/17,277.96
  6. Step 6: Final answer
    x = 13,559.84

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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.