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Finding the Fourth Proportional to 17,274.37, 23,839.84 and 9,721.42

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Solution

The fourth proportional to 17,274.37, 23,839.84 and 9,721.42 is: 13,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.37 : 23,839.84 = 9,721.42 : x
  2. Step 2: Convert to fraction form
    17,274.37/23,839.84 = 9,721.42/x
  3. Step 3: Cross multiply
    17,274.37x = 23,839.84 × 9,721.42
  4. Step 4: Simplify right side
    17,274.37x = 231,757,129.34
  5. Step 5: Solve for x
    x = 231,757,129.34/17,274.37
  6. Step 6: Final answer
    x = 13,416.24

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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.