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Finding the Fourth Proportional to 20,471.37, 30,707.06 and 5,680.29

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Solution

The fourth proportional to 20,471.37, 30,707.06 and 5,680.29 is: 8,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.37 : 30,707.06 = 5,680.29 : x
  2. Step 2: Convert to fraction form
    20,471.37/30,707.06 = 5,680.29/x
  3. Step 3: Cross multiply
    20,471.37x = 30,707.06 × 5,680.29
  4. Step 4: Simplify right side
    20,471.37x = 174,424,977.45
  5. Step 5: Solve for x
    x = 174,424,977.45/20,471.37
  6. Step 6: Final answer
    x = 8,520.44

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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.