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Finding the Fourth Proportional to 27,682.54, 41,524.45 and 9,914.42

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Solution

The fourth proportional to 27,682.54, 41,524.45 and 9,914.42 is: 14,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.54 : 41,524.45 = 9,914.42 : x
  2. Step 2: Convert to fraction form
    27,682.54/41,524.45 = 9,914.42/x
  3. Step 3: Cross multiply
    27,682.54x = 41,524.45 × 9,914.42
  4. Step 4: Simplify right side
    27,682.54x = 411,690,605.16
  5. Step 5: Solve for x
    x = 411,690,605.16/27,682.54
  6. Step 6: Final answer
    x = 14,871.85

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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.