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Finding the Fourth Proportional to 17,270.84, 23,832.78 and 9,717.49

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Solution

The fourth proportional to 17,270.84, 23,832.78 and 9,717.49 is: 13,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.84 : 23,832.78 = 9,717.49 : x
  2. Step 2: Convert to fraction form
    17,270.84/23,832.78 = 9,717.49/x
  3. Step 3: Cross multiply
    17,270.84x = 23,832.78 × 9,717.49
  4. Step 4: Simplify right side
    17,270.84x = 231,594,801.32
  5. Step 5: Solve for x
    x = 231,594,801.32/17,270.84
  6. Step 6: Final answer
    x = 13,409.59

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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.