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Finding the Fourth Proportional to 20,610.82, 30,912.64 and 9,516.57

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Solution

The fourth proportional to 20,610.82, 30,912.64 and 9,516.57 is: 14,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610.82 : 30,912.64 = 9,516.57 : x
  2. Step 2: Convert to fraction form
    20,610.82/30,912.64 = 9,516.57/x
  3. Step 3: Cross multiply
    20,610.82x = 30,912.64 × 9,516.57
  4. Step 4: Simplify right side
    20,610.82x = 294,182,302.44
  5. Step 5: Solve for x
    x = 294,182,302.44/20,610.82
  6. Step 6: Final answer
    x = 14,273.20

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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.