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Finding the Fourth Proportional to 20,458.26, 30,690.42 and 6,419.44

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Solution

The fourth proportional to 20,458.26, 30,690.42 and 6,419.44 is: 9,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.26 : 30,690.42 = 6,419.44 : x
  2. Step 2: Convert to fraction form
    20,458.26/30,690.42 = 6,419.44/x
  3. Step 3: Cross multiply
    20,458.26x = 30,690.42 × 6,419.44
  4. Step 4: Simplify right side
    20,458.26x = 197,015,309.76
  5. Step 5: Solve for x
    x = 197,015,309.76/20,458.26
  6. Step 6: Final answer
    x = 9,630.11

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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.