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Finding the Fourth Proportional to 21,717, 32,520.36 and 18,197.75

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Solution

The fourth proportional to 21,717, 32,520.36 and 18,197.75 is: 27,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717 : 32,520.36 = 18,197.75 : x
  2. Step 2: Convert to fraction form
    21,717/32,520.36 = 18,197.75/x
  3. Step 3: Cross multiply
    21,717x = 32,520.36 × 18,197.75
  4. Step 4: Simplify right side
    21,717x = 591,797,381.19
  5. Step 5: Solve for x
    x = 591,797,381.19/21,717
  6. Step 6: Final answer
    x = 27,250.42

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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.