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Finding the Fourth Proportional to 24,427, 36,640.86 and 8,011

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Solution

The fourth proportional to 24,427, 36,640.86 and 8,011 is: 12,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427 : 36,640.86 = 8,011 : x
  2. Step 2: Convert to fraction form
    24,427/36,640.86 = 8,011/x
  3. Step 3: Cross multiply
    24,427x = 36,640.86 × 8,011
  4. Step 4: Simplify right side
    24,427x = 293,529,929.46
  5. Step 5: Solve for x
    x = 293,529,929.46/24,427
  6. Step 6: Final answer
    x = 12,016.62

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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.