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Finding the Fourth Proportional to 27,343, 41,018.46 and 8,616.70

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Solution

The fourth proportional to 27,343, 41,018.46 and 8,616.70 is: 12,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343 : 41,018.46 = 8,616.70 : x
  2. Step 2: Convert to fraction form
    27,343/41,018.46 = 8,616.70/x
  3. Step 3: Cross multiply
    27,343x = 41,018.46 × 8,616.70
  4. Step 4: Simplify right side
    27,343x = 353,443,764.28
  5. Step 5: Solve for x
    x = 353,443,764.28/27,343
  6. Step 6: Final answer
    x = 12,926.30

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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.