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Finding the Fourth Proportional to 20,389.80, 30,589.56 and 9,299.82

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Solution

The fourth proportional to 20,389.80, 30,589.56 and 9,299.82 is: 13,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.80 : 30,589.56 = 9,299.82 : x
  2. Step 2: Convert to fraction form
    20,389.80/30,589.56 = 9,299.82/x
  3. Step 3: Cross multiply
    20,389.80x = 30,589.56 × 9,299.82
  4. Step 4: Simplify right side
    20,389.80x = 284,477,401.88
  5. Step 5: Solve for x
    x = 284,477,401.88/20,389.80
  6. Step 6: Final answer
    x = 13,951.95

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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.