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Finding the Fourth Proportional to 11,793.20, 17,690 and 9,442.32

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Solution

The fourth proportional to 11,793.20, 17,690 and 9,442.32 is: 14,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.20 : 17,690 = 9,442.32 : x
  2. Step 2: Convert to fraction form
    11,793.20/17,690 = 9,442.32/x
  3. Step 3: Cross multiply
    11,793.20x = 17,690 × 9,442.32
  4. Step 4: Simplify right side
    11,793.20x = 167,034,640.80
  5. Step 5: Solve for x
    x = 167,034,640.80/11,793.20
  6. Step 6: Final answer
    x = 14,163.64

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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.