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Finding the Fourth Proportional to 17,882.27, 24,680.46 and 9,927.05

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Solution

The fourth proportional to 17,882.27, 24,680.46 and 9,927.05 is: 13,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.27 : 24,680.46 = 9,927.05 : x
  2. Step 2: Convert to fraction form
    17,882.27/24,680.46 = 9,927.05/x
  3. Step 3: Cross multiply
    17,882.27x = 24,680.46 × 9,927.05
  4. Step 4: Simplify right side
    17,882.27x = 245,004,160.44
  5. Step 5: Solve for x
    x = 245,004,160.44/17,882.27
  6. Step 6: Final answer
    x = 13,700.95

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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.