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Finding the Fourth Proportional to 20,505.27, 30,757.95 and 6,466.62

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Solution

The fourth proportional to 20,505.27, 30,757.95 and 6,466.62 is: 9,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.27 : 30,757.95 = 6,466.62 : x
  2. Step 2: Convert to fraction form
    20,505.27/30,757.95 = 6,466.62/x
  3. Step 3: Cross multiply
    20,505.27x = 30,757.95 × 6,466.62
  4. Step 4: Simplify right side
    20,505.27x = 198,899,974.63
  5. Step 5: Solve for x
    x = 198,899,974.63/20,505.27
  6. Step 6: Final answer
    x = 9,699.94

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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.