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Finding the Fourth Proportional to 20,264.94, 30,397.34 and 5,475.32

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Solution

The fourth proportional to 20,264.94, 30,397.34 and 5,475.32 is: 8,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.94 : 30,397.34 = 5,475.32 : x
  2. Step 2: Convert to fraction form
    20,264.94/30,397.34 = 5,475.32/x
  3. Step 3: Cross multiply
    20,264.94x = 30,397.34 × 5,475.32
  4. Step 4: Simplify right side
    20,264.94x = 166,435,163.65
  5. Step 5: Solve for x
    x = 166,435,163.65/20,264.94
  6. Step 6: Final answer
    x = 8,212.96

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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.