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Finding the Fourth Proportional to 17,193, 23,726.34 and 9,741

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Solution

The fourth proportional to 17,193, 23,726.34 and 9,741 is: 13,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193 : 23,726.34 = 9,741 : x
  2. Step 2: Convert to fraction form
    17,193/23,726.34 = 9,741/x
  3. Step 3: Cross multiply
    17,193x = 23,726.34 × 9,741
  4. Step 4: Simplify right side
    17,193x = 231,118,277.94
  5. Step 5: Solve for x
    x = 231,118,277.94/17,193
  6. Step 6: Final answer
    x = 13,442.58

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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.