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Finding the Fourth Proportional to 20,454.58, 30,682.25 and 6,414.30

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Solution

The fourth proportional to 20,454.58, 30,682.25 and 6,414.30 is: 9,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.58 : 30,682.25 = 6,414.30 : x
  2. Step 2: Convert to fraction form
    20,454.58/30,682.25 = 6,414.30/x
  3. Step 3: Cross multiply
    20,454.58x = 30,682.25 × 6,414.30
  4. Step 4: Simplify right side
    20,454.58x = 196,805,172.21
  5. Step 5: Solve for x
    x = 196,805,172.21/20,454.58
  6. Step 6: Final answer
    x = 9,621.57

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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.