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Finding the Fourth Proportional to 12,022.38, 16,589.38 and 6,718.20

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Solution

The fourth proportional to 12,022.38, 16,589.38 and 6,718.20 is: 9,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.38 : 16,589.38 = 6,718.20 : x
  2. Step 2: Convert to fraction form
    12,022.38/16,589.38 = 6,718.20/x
  3. Step 3: Cross multiply
    12,022.38x = 16,589.38 × 6,718.20
  4. Step 4: Simplify right side
    12,022.38x = 111,450,772.72
  5. Step 5: Solve for x
    x = 111,450,772.72/12,022.38
  6. Step 6: Final answer
    x = 9,270.28

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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.