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Finding the Fourth Proportional to 14,427, 21,640.50 and 5,193

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Solution

The fourth proportional to 14,427, 21,640.50 and 5,193 is: 7,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427 : 21,640.50 = 5,193 : x
  2. Step 2: Convert to fraction form
    14,427/21,640.50 = 5,193/x
  3. Step 3: Cross multiply
    14,427x = 21,640.50 × 5,193
  4. Step 4: Simplify right side
    14,427x = 112,379,116.50
  5. Step 5: Solve for x
    x = 112,379,116.50/14,427
  6. Step 6: Final answer
    x = 7,789.50

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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.