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Finding the Fourth Proportional to 29,997, 41,395.86 and 16,749

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Solution

The fourth proportional to 29,997, 41,395.86 and 16,749 is: 23,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,997 : 41,395.86 = 16,749 : x
  2. Step 2: Convert to fraction form
    29,997/41,395.86 = 16,749/x
  3. Step 3: Cross multiply
    29,997x = 41,395.86 × 16,749
  4. Step 4: Simplify right side
    29,997x = 693,339,259.14
  5. Step 5: Solve for x
    x = 693,339,259.14/29,997
  6. Step 6: Final answer
    x = 23,113.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.