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Finding the Fourth Proportional to 16,900.20, 25,353.07 and 5,213.41

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Solution

The fourth proportional to 16,900.20, 25,353.07 and 5,213.41 is: 7,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.20 : 25,353.07 = 5,213.41 : x
  2. Step 2: Convert to fraction form
    16,900.20/25,353.07 = 5,213.41/x
  3. Step 3: Cross multiply
    16,900.20x = 25,353.07 × 5,213.41
  4. Step 4: Simplify right side
    16,900.20x = 132,175,872.25
  5. Step 5: Solve for x
    x = 132,175,872.25/16,900.20
  6. Step 6: Final answer
    x = 7,820.96

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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.