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Finding the Fourth Proportional to 20,380.34, 30,570.53 and 5,589.37

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Solution

The fourth proportional to 20,380.34, 30,570.53 and 5,589.37 is: 8,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.34 : 30,570.53 = 5,589.37 : x
  2. Step 2: Convert to fraction form
    20,380.34/30,570.53 = 5,589.37/x
  3. Step 3: Cross multiply
    20,380.34x = 30,570.53 × 5,589.37
  4. Step 4: Simplify right side
    20,380.34x = 170,870,044.97
  5. Step 5: Solve for x
    x = 170,870,044.97/20,380.34
  6. Step 6: Final answer
    x = 8,384.06

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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.