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Finding the Fourth Proportional to 17,425.26, 24,046.92 and 9,873

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Solution

The fourth proportional to 17,425.26, 24,046.92 and 9,873 is: 13,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,425.26 : 24,046.92 = 9,873 : x
  2. Step 2: Convert to fraction form
    17,425.26/24,046.92 = 9,873/x
  3. Step 3: Cross multiply
    17,425.26x = 24,046.92 × 9,873
  4. Step 4: Simplify right side
    17,425.26x = 237,415,241.16
  5. Step 5: Solve for x
    x = 237,415,241.16/17,425.26
  6. Step 6: Final answer
    x = 13,624.77

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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.