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Finding the Fourth Proportional to 19,523.82, 29,286.08 and 7,044.78

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Solution

The fourth proportional to 19,523.82, 29,286.08 and 7,044.78 is: 10,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.82 : 29,286.08 = 7,044.78 : x
  2. Step 2: Convert to fraction form
    19,523.82/29,286.08 = 7,044.78/x
  3. Step 3: Cross multiply
    19,523.82x = 29,286.08 × 7,044.78
  4. Step 4: Simplify right side
    19,523.82x = 206,313,990.66
  5. Step 5: Solve for x
    x = 206,313,990.66/19,523.82
  6. Step 6: Final answer
    x = 10,567.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.