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Finding the Fourth Proportional to 12,170, 18,255.04 and 2,936

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Solution

The fourth proportional to 12,170, 18,255.04 and 2,936 is: 4,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170 : 18,255.04 = 2,936 : x
  2. Step 2: Convert to fraction form
    12,170/18,255.04 = 2,936/x
  3. Step 3: Cross multiply
    12,170x = 18,255.04 × 2,936
  4. Step 4: Simplify right side
    12,170x = 53,596,797.44
  5. Step 5: Solve for x
    x = 53,596,797.44/12,170
  6. Step 6: Final answer
    x = 4,404.01

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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.