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Finding the Fourth Proportional to 20,471.49, 30,707.24 and 5,680.41

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Solution

The fourth proportional to 20,471.49, 30,707.24 and 5,680.41 is: 8,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.49 : 30,707.24 = 5,680.41 : x
  2. Step 2: Convert to fraction form
    20,471.49/30,707.24 = 5,680.41/x
  3. Step 3: Cross multiply
    20,471.49x = 30,707.24 × 5,680.41
  4. Step 4: Simplify right side
    20,471.49x = 174,429,831.87
  5. Step 5: Solve for x
    x = 174,429,831.87/20,471.49
  6. Step 6: Final answer
    x = 8,520.62

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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.