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Finding the Fourth Proportional to 23,997, 36,008.46 and 11,685

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Solution

The fourth proportional to 23,997, 36,008.46 and 11,685 is: 17,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,997 : 36,008.46 = 11,685 : x
  2. Step 2: Convert to fraction form
    23,997/36,008.46 = 11,685/x
  3. Step 3: Cross multiply
    23,997x = 36,008.46 × 11,685
  4. Step 4: Simplify right side
    23,997x = 420,758,855.10
  5. Step 5: Solve for x
    x = 420,758,855.10/23,997
  6. Step 6: Final answer
    x = 17,533.81

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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.