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Finding the Fourth Proportional to 23,793.38, 32,832.18 and 13,180.34

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Solution

The fourth proportional to 23,793.38, 32,832.18 and 13,180.34 is: 18,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.38 : 32,832.18 = 13,180.34 : x
  2. Step 2: Convert to fraction form
    23,793.38/32,832.18 = 13,180.34/x
  3. Step 3: Cross multiply
    23,793.38x = 32,832.18 × 13,180.34
  4. Step 4: Simplify right side
    23,793.38x = 432,739,295.34
  5. Step 5: Solve for x
    x = 432,739,295.34/23,793.38
  6. Step 6: Final answer
    x = 18,187.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.