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Finding the Fourth Proportional to 21,821.40, 32,732.10 and 20,144.70

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Solution

The fourth proportional to 21,821.40, 32,732.10 and 20,144.70 is: 30,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.40 : 32,732.10 = 20,144.70 : x
  2. Step 2: Convert to fraction form
    21,821.40/32,732.10 = 20,144.70/x
  3. Step 3: Cross multiply
    21,821.40x = 32,732.10 × 20,144.70
  4. Step 4: Simplify right side
    21,821.40x = 659,378,334.87
  5. Step 5: Solve for x
    x = 659,378,334.87/21,821.40
  6. Step 6: Final answer
    x = 30,217.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.