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Finding the Fourth Proportional to 20,454.96, 30,678.84 and 5,462.27

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Solution

The fourth proportional to 20,454.96, 30,678.84 and 5,462.27 is: 8,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.96 : 30,678.84 = 5,462.27 : x
  2. Step 2: Convert to fraction form
    20,454.96/30,678.84 = 5,462.27/x
  3. Step 3: Cross multiply
    20,454.96x = 30,678.84 × 5,462.27
  4. Step 4: Simplify right side
    20,454.96x = 167,576,107.37
  5. Step 5: Solve for x
    x = 167,576,107.37/20,454.96
  6. Step 6: Final answer
    x = 8,192.44

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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.