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Finding the Fourth Proportional to 20,234.31, 30,352.06 and 5,443.24

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Solution

The fourth proportional to 20,234.31, 30,352.06 and 5,443.24 is: 8,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.31 : 30,352.06 = 5,443.24 : x
  2. Step 2: Convert to fraction form
    20,234.31/30,352.06 = 5,443.24/x
  3. Step 3: Cross multiply
    20,234.31x = 30,352.06 × 5,443.24
  4. Step 4: Simplify right side
    20,234.31x = 165,213,395.31
  5. Step 5: Solve for x
    x = 165,213,395.31/20,234.31
  6. Step 6: Final answer
    x = 8,165.01

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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.