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Finding the Fourth Proportional to 30,822.54, 42,537.36 and 17,394.97

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Solution

The fourth proportional to 30,822.54, 42,537.36 and 17,394.97 is: 24,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.54 : 42,537.36 = 17,394.97 : x
  2. Step 2: Convert to fraction form
    30,822.54/42,537.36 = 17,394.97/x
  3. Step 3: Cross multiply
    30,822.54x = 42,537.36 × 17,394.97
  4. Step 4: Simplify right side
    30,822.54x = 739,936,121.64
  5. Step 5: Solve for x
    x = 739,936,121.64/30,822.54
  6. Step 6: Final answer
    x = 24,006.33

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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.