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Finding the Fourth Proportional to 20,777.49, 31,166.22 and 5,195.12

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Solution

The fourth proportional to 20,777.49, 31,166.22 and 5,195.12 is: 7,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.49 : 31,166.22 = 5,195.12 : x
  2. Step 2: Convert to fraction form
    20,777.49/31,166.22 = 5,195.12/x
  3. Step 3: Cross multiply
    20,777.49x = 31,166.22 × 5,195.12
  4. Step 4: Simplify right side
    20,777.49x = 161,912,116.50
  5. Step 5: Solve for x
    x = 161,912,116.50/20,777.49
  6. Step 6: Final answer
    x = 7,792.67

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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.