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Finding the Fourth Proportional to 20,532.17, 30,855.96 and 12,213.69

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Solution

The fourth proportional to 20,532.17, 30,855.96 and 12,213.69 is: 18,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.17 : 30,855.96 = 12,213.69 : x
  2. Step 2: Convert to fraction form
    20,532.17/30,855.96 = 12,213.69/x
  3. Step 3: Cross multiply
    20,532.17x = 30,855.96 × 12,213.69
  4. Step 4: Simplify right side
    20,532.17x = 376,865,130.09
  5. Step 5: Solve for x
    x = 376,865,130.09/20,532.17
  6. Step 6: Final answer
    x = 18,354.87

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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.