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Finding the Fourth Proportional to 30,654.92, 42,306.24 and 17,226.80

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Solution

The fourth proportional to 30,654.92, 42,306.24 and 17,226.80 is: 23,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.92 : 42,306.24 = 17,226.80 : x
  2. Step 2: Convert to fraction form
    30,654.92/42,306.24 = 17,226.80/x
  3. Step 3: Cross multiply
    30,654.92x = 42,306.24 × 17,226.80
  4. Step 4: Simplify right side
    30,654.92x = 728,801,135.23
  5. Step 5: Solve for x
    x = 728,801,135.23/30,654.92
  6. Step 6: Final answer
    x = 23,774.36

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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.