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Finding the Fourth Proportional to 12,022.24, 16,591.38 and 6,644.62

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Solution

The fourth proportional to 12,022.24, 16,591.38 and 6,644.62 is: 9,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.24 : 16,591.38 = 6,644.62 : x
  2. Step 2: Convert to fraction form
    12,022.24/16,591.38 = 6,644.62/x
  3. Step 3: Cross multiply
    12,022.24x = 16,591.38 × 6,644.62
  4. Step 4: Simplify right side
    12,022.24x = 110,243,415.38
  5. Step 5: Solve for x
    x = 110,243,415.38/12,022.24
  6. Step 6: Final answer
    x = 9,169.96

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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.