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Finding the Fourth Proportional to 20,809.50, 31,217.36 and 7,660.86

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Solution

The fourth proportional to 20,809.50, 31,217.36 and 7,660.86 is: 11,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.50 : 31,217.36 = 7,660.86 : x
  2. Step 2: Convert to fraction form
    20,809.50/31,217.36 = 7,660.86/x
  3. Step 3: Cross multiply
    20,809.50x = 31,217.36 × 7,660.86
  4. Step 4: Simplify right side
    20,809.50x = 239,151,786.23
  5. Step 5: Solve for x
    x = 239,151,786.23/20,809.50
  6. Step 6: Final answer
    x = 11,492.43

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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.