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Finding the Fourth Proportional to 17,092.52, 23,584.15 and 9,823.20

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Solution

The fourth proportional to 17,092.52, 23,584.15 and 9,823.20 is: 13,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.52 : 23,584.15 = 9,823.20 : x
  2. Step 2: Convert to fraction form
    17,092.52/23,584.15 = 9,823.20/x
  3. Step 3: Cross multiply
    17,092.52x = 23,584.15 × 9,823.20
  4. Step 4: Simplify right side
    17,092.52x = 231,671,822.28
  5. Step 5: Solve for x
    x = 231,671,822.28/17,092.52
  6. Step 6: Final answer
    x = 13,553.99

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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.