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Finding the Fourth Proportional to 20,242.46, 30,383.10 and 9,861.50

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Solution

The fourth proportional to 20,242.46, 30,383.10 and 9,861.50 is: 14,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.46 : 30,383.10 = 9,861.50 : x
  2. Step 2: Convert to fraction form
    20,242.46/30,383.10 = 9,861.50/x
  3. Step 3: Cross multiply
    20,242.46x = 30,383.10 × 9,861.50
  4. Step 4: Simplify right side
    20,242.46x = 299,622,940.65
  5. Step 5: Solve for x
    x = 299,622,940.65/20,242.46
  6. Step 6: Final answer
    x = 14,801.71

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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.