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Finding the Fourth Proportional to 20,800.60, 31,205.79 and 6,760.67

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Solution

The fourth proportional to 20,800.60, 31,205.79 and 6,760.67 is: 10,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.60 : 31,205.79 = 6,760.67 : x
  2. Step 2: Convert to fraction form
    20,800.60/31,205.79 = 6,760.67/x
  3. Step 3: Cross multiply
    20,800.60x = 31,205.79 × 6,760.67
  4. Step 4: Simplify right side
    20,800.60x = 210,971,892.25
  5. Step 5: Solve for x
    x = 210,971,892.25/20,800.60
  6. Step 6: Final answer
    x = 10,142.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.