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Finding the Fourth Proportional to 15,471.27, 23,208.17 and 4,942.71

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Solution

The fourth proportional to 15,471.27, 23,208.17 and 4,942.71 is: 7,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.27 : 23,208.17 = 4,942.71 : x
  2. Step 2: Convert to fraction form
    15,471.27/23,208.17 = 4,942.71/x
  3. Step 3: Cross multiply
    15,471.27x = 23,208.17 × 4,942.71
  4. Step 4: Simplify right side
    15,471.27x = 114,711,229.23
  5. Step 5: Solve for x
    x = 114,711,229.23/15,471.27
  6. Step 6: Final answer
    x = 7,414.47

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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.