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Finding the Fourth Proportional to 20,673, 31,004.04 and 8,983.50

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Solution

The fourth proportional to 20,673, 31,004.04 and 8,983.50 is: 13,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673 : 31,004.04 = 8,983.50 : x
  2. Step 2: Convert to fraction form
    20,673/31,004.04 = 8,983.50/x
  3. Step 3: Cross multiply
    20,673x = 31,004.04 × 8,983.50
  4. Step 4: Simplify right side
    20,673x = 278,524,793.34
  5. Step 5: Solve for x
    x = 278,524,793.34/20,673
  6. Step 6: Final answer
    x = 13,472.88

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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.