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Finding the Fourth Proportional to 24,325, 33,568.50 and 13,147

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Solution

The fourth proportional to 24,325, 33,568.50 and 13,147 is: 18,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325 : 33,568.50 = 13,147 : x
  2. Step 2: Convert to fraction form
    24,325/33,568.50 = 13,147/x
  3. Step 3: Cross multiply
    24,325x = 33,568.50 × 13,147
  4. Step 4: Simplify right side
    24,325x = 441,325,069.50
  5. Step 5: Solve for x
    x = 441,325,069.50/24,325
  6. Step 6: Final answer
    x = 18,142.86

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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.