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Finding the Fourth Proportional to 12,472.67, 18,694.65 and 5,451.03

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Solution

The fourth proportional to 12,472.67, 18,694.65 and 5,451.03 is: 8,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.67 : 18,694.65 = 5,451.03 : x
  2. Step 2: Convert to fraction form
    12,472.67/18,694.65 = 5,451.03/x
  3. Step 3: Cross multiply
    12,472.67x = 18,694.65 × 5,451.03
  4. Step 4: Simplify right side
    12,472.67x = 101,905,097.99
  5. Step 5: Solve for x
    x = 101,905,097.99/12,472.67
  6. Step 6: Final answer
    x = 8,170.27

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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.