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Finding the Fourth Proportional to 14,997, 22,496.60 and 5,763

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Solution

The fourth proportional to 14,997, 22,496.60 and 5,763 is: 8,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997 : 22,496.60 = 5,763 : x
  2. Step 2: Convert to fraction form
    14,997/22,496.60 = 5,763/x
  3. Step 3: Cross multiply
    14,997x = 22,496.60 × 5,763
  4. Step 4: Simplify right side
    14,997x = 129,647,905.80
  5. Step 5: Solve for x
    x = 129,647,905.80/14,997
  6. Step 6: Final answer
    x = 8,644.92

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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.