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Finding the Fourth Proportional to 20,182.14, 27,846.99 and 12,224.70

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Solution

The fourth proportional to 20,182.14, 27,846.99 and 12,224.70 is: 16,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.14 : 27,846.99 = 12,224.70 : x
  2. Step 2: Convert to fraction form
    20,182.14/27,846.99 = 12,224.70/x
  3. Step 3: Cross multiply
    20,182.14x = 27,846.99 × 12,224.70
  4. Step 4: Simplify right side
    20,182.14x = 340,421,098.65
  5. Step 5: Solve for x
    x = 340,421,098.65/20,182.14
  6. Step 6: Final answer
    x = 16,867.44

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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.