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Finding the Fourth Proportional to 17,695.29, 24,418.59 and 9,738.26

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Solution

The fourth proportional to 17,695.29, 24,418.59 and 9,738.26 is: 13,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.29 : 24,418.59 = 9,738.26 : x
  2. Step 2: Convert to fraction form
    17,695.29/24,418.59 = 9,738.26/x
  3. Step 3: Cross multiply
    17,695.29x = 24,418.59 × 9,738.26
  4. Step 4: Simplify right side
    17,695.29x = 237,794,456.16
  5. Step 5: Solve for x
    x = 237,794,456.16/17,695.29
  6. Step 6: Final answer
    x = 13,438.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.