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Finding the Fourth Proportional to 20,712.38, 31,065.32 and 6,861.38

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Solution

The fourth proportional to 20,712.38, 31,065.32 and 6,861.38 is: 10,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.38 : 31,065.32 = 6,861.38 : x
  2. Step 2: Convert to fraction form
    20,712.38/31,065.32 = 6,861.38/x
  3. Step 3: Cross multiply
    20,712.38x = 31,065.32 × 6,861.38
  4. Step 4: Simplify right side
    20,712.38x = 213,150,965.34
  5. Step 5: Solve for x
    x = 213,150,965.34/20,712.38
  6. Step 6: Final answer
    x = 10,290.99

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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.