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Finding the Fourth Proportional to 20,202.36, 30,306.42 and 9,807

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Solution

The fourth proportional to 20,202.36, 30,306.42 and 9,807 is: 14,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.36 : 30,306.42 = 9,807 : x
  2. Step 2: Convert to fraction form
    20,202.36/30,306.42 = 9,807/x
  3. Step 3: Cross multiply
    20,202.36x = 30,306.42 × 9,807
  4. Step 4: Simplify right side
    20,202.36x = 297,215,060.94
  5. Step 5: Solve for x
    x = 297,215,060.94/20,202.36
  6. Step 6: Final answer
    x = 14,711.90

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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.