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Finding the Fourth Proportional to 29,247, 43,874.81 and 8,467.80

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Solution

The fourth proportional to 29,247, 43,874.81 and 8,467.80 is: 12,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,247 : 43,874.81 = 8,467.80 : x
  2. Step 2: Convert to fraction form
    29,247/43,874.81 = 8,467.80/x
  3. Step 3: Cross multiply
    29,247x = 43,874.81 × 8,467.80
  4. Step 4: Simplify right side
    29,247x = 371,523,116.12
  5. Step 5: Solve for x
    x = 371,523,116.12/29,247
  6. Step 6: Final answer
    x = 12,702.95

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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.