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Finding the Fourth Proportional to 20,521.82, 30,769.76 and 8,669.43

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Solution

The fourth proportional to 20,521.82, 30,769.76 and 8,669.43 is: 12,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.82 : 30,769.76 = 8,669.43 : x
  2. Step 2: Convert to fraction form
    20,521.82/30,769.76 = 8,669.43/x
  3. Step 3: Cross multiply
    20,521.82x = 30,769.76 × 8,669.43
  4. Step 4: Simplify right side
    20,521.82x = 266,756,237.09
  5. Step 5: Solve for x
    x = 266,756,237.09/20,521.82
  6. Step 6: Final answer
    x = 12,998.67

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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.