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Finding the Fourth Proportional to 14,850.64, 20,516.14 and 9,758.27

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Solution

The fourth proportional to 14,850.64, 20,516.14 and 9,758.27 is: 13,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850.64 : 20,516.14 = 9,758.27 : x
  2. Step 2: Convert to fraction form
    14,850.64/20,516.14 = 9,758.27/x
  3. Step 3: Cross multiply
    14,850.64x = 20,516.14 × 9,758.27
  4. Step 4: Simplify right side
    14,850.64x = 200,202,096.97
  5. Step 5: Solve for x
    x = 200,202,096.97/14,850.64
  6. Step 6: Final answer
    x = 13,481.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.