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Finding the Fourth Proportional to 20,296.98, 30,451.14 and 6,257.25

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Solution

The fourth proportional to 20,296.98, 30,451.14 and 6,257.25 is: 9,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.98 : 30,451.14 = 6,257.25 : x
  2. Step 2: Convert to fraction form
    20,296.98/30,451.14 = 6,257.25/x
  3. Step 3: Cross multiply
    20,296.98x = 30,451.14 × 6,257.25
  4. Step 4: Simplify right side
    20,296.98x = 190,540,395.77
  5. Step 5: Solve for x
    x = 190,540,395.77/20,296.98
  6. Step 6: Final answer
    x = 9,387.62

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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.