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Finding the Fourth Proportional to 20,498.25, 30,722.68 and 8,647.44

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Solution

The fourth proportional to 20,498.25, 30,722.68 and 8,647.44 is: 12,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.25 : 30,722.68 = 8,647.44 : x
  2. Step 2: Convert to fraction form
    20,498.25/30,722.68 = 8,647.44/x
  3. Step 3: Cross multiply
    20,498.25x = 30,722.68 × 8,647.44
  4. Step 4: Simplify right side
    20,498.25x = 265,672,488.70
  5. Step 5: Solve for x
    x = 265,672,488.70/20,498.25
  6. Step 6: Final answer
    x = 12,960.74

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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.