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Finding the Fourth Proportional to 19,727.40, 29,576.52 and 9,327

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Solution

The fourth proportional to 19,727.40, 29,576.52 and 9,327 is: 13,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.40 : 29,576.52 = 9,327 : x
  2. Step 2: Convert to fraction form
    19,727.40/29,576.52 = 9,327/x
  3. Step 3: Cross multiply
    19,727.40x = 29,576.52 × 9,327
  4. Step 4: Simplify right side
    19,727.40x = 275,860,202.04
  5. Step 5: Solve for x
    x = 275,860,202.04/19,727.40
  6. Step 6: Final answer
    x = 13,983.61

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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.