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Finding the Fourth Proportional to 14,660.18, 20,226.01 and 8,286.02

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Solution

The fourth proportional to 14,660.18, 20,226.01 and 8,286.02 is: 11,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.18 : 20,226.01 = 8,286.02 : x
  2. Step 2: Convert to fraction form
    14,660.18/20,226.01 = 8,286.02/x
  3. Step 3: Cross multiply
    14,660.18x = 20,226.01 × 8,286.02
  4. Step 4: Simplify right side
    14,660.18x = 167,593,123.38
  5. Step 5: Solve for x
    x = 167,593,123.38/14,660.18
  6. Step 6: Final answer
    x = 11,431.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.