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Finding the Fourth Proportional to 20,471.24, 30,715.50 and 8,627.96

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Solution

The fourth proportional to 20,471.24, 30,715.50 and 8,627.96 is: 12,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.24 : 30,715.50 = 8,627.96 : x
  2. Step 2: Convert to fraction form
    20,471.24/30,715.50 = 8,627.96/x
  3. Step 3: Cross multiply
    20,471.24x = 30,715.50 × 8,627.96
  4. Step 4: Simplify right side
    20,471.24x = 265,012,105.38
  5. Step 5: Solve for x
    x = 265,012,105.38/20,471.24
  6. Step 6: Final answer
    x = 12,945.58

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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.