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Finding the Fourth Proportional to 20,806.50, 31,212.86 and 7,657.87

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Solution

The fourth proportional to 20,806.50, 31,212.86 and 7,657.87 is: 11,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.50 : 31,212.86 = 7,657.87 : x
  2. Step 2: Convert to fraction form
    20,806.50/31,212.86 = 7,657.87/x
  3. Step 3: Cross multiply
    20,806.50x = 31,212.86 × 7,657.87
  4. Step 4: Simplify right side
    20,806.50x = 239,023,889.39
  5. Step 5: Solve for x
    x = 239,023,889.39/20,806.50
  6. Step 6: Final answer
    x = 11,487.95

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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.