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Finding the Fourth Proportional to 17,266, 23,825.24 and 10,553.26

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Solution

The fourth proportional to 17,266, 23,825.24 and 10,553.26 is: 14,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266 : 23,825.24 = 10,553.26 : x
  2. Step 2: Convert to fraction form
    17,266/23,825.24 = 10,553.26/x
  3. Step 3: Cross multiply
    17,266x = 23,825.24 × 10,553.26
  4. Step 4: Simplify right side
    17,266x = 251,433,952.28
  5. Step 5: Solve for x
    x = 251,433,952.28/17,266
  6. Step 6: Final answer
    x = 14,562.37

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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.