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Finding the Fourth Proportional to 15,286.91, 22,919.49 and 5,919.02

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Solution

The fourth proportional to 15,286.91, 22,919.49 and 5,919.02 is: 8,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.91 : 22,919.49 = 5,919.02 : x
  2. Step 2: Convert to fraction form
    15,286.91/22,919.49 = 5,919.02/x
  3. Step 3: Cross multiply
    15,286.91x = 22,919.49 × 5,919.02
  4. Step 4: Simplify right side
    15,286.91x = 135,660,805.10
  5. Step 5: Solve for x
    x = 135,660,805.10/15,286.91
  6. Step 6: Final answer
    x = 8,874.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.