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Finding the Fourth Proportional to 27,566.64, 41,337.22 and 8,843.20

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Solution

The fourth proportional to 27,566.64, 41,337.22 and 8,843.20 is: 13,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.64 : 41,337.22 = 8,843.20 : x
  2. Step 2: Convert to fraction form
    27,566.64/41,337.22 = 8,843.20/x
  3. Step 3: Cross multiply
    27,566.64x = 41,337.22 × 8,843.20
  4. Step 4: Simplify right side
    27,566.64x = 365,553,303.90
  5. Step 5: Solve for x
    x = 365,553,303.90/27,566.64
  6. Step 6: Final answer
    x = 13,260.71

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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.