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Finding the Fourth Proportional to 12,096.20, 18,149.49 and 6,553.50

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Solution

The fourth proportional to 12,096.20, 18,149.49 and 6,553.50 is: 9,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.20 : 18,149.49 = 6,553.50 : x
  2. Step 2: Convert to fraction form
    12,096.20/18,149.49 = 6,553.50/x
  3. Step 3: Cross multiply
    12,096.20x = 18,149.49 × 6,553.50
  4. Step 4: Simplify right side
    12,096.20x = 118,942,682.72
  5. Step 5: Solve for x
    x = 118,942,682.72/12,096.20
  6. Step 6: Final answer
    x = 9,833.07

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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.