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Finding the Fourth Proportional to 20,454.66, 30,682.65 and 5,662.32

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Solution

The fourth proportional to 20,454.66, 30,682.65 and 5,662.32 is: 8,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.66 : 30,682.65 = 5,662.32 : x
  2. Step 2: Convert to fraction form
    20,454.66/30,682.65 = 5,662.32/x
  3. Step 3: Cross multiply
    20,454.66x = 30,682.65 × 5,662.32
  4. Step 4: Simplify right side
    20,454.66x = 173,734,982.75
  5. Step 5: Solve for x
    x = 173,734,982.75/20,454.66
  6. Step 6: Final answer
    x = 8,493.66

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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.