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Finding the Fourth Proportional to 20,508.08, 30,766.48 and 6,656

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Solution

The fourth proportional to 20,508.08, 30,766.48 and 6,656 is: 9,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.08 : 30,766.48 = 6,656 : x
  2. Step 2: Convert to fraction form
    20,508.08/30,766.48 = 6,656/x
  3. Step 3: Cross multiply
    20,508.08x = 30,766.48 × 6,656
  4. Step 4: Simplify right side
    20,508.08x = 204,781,690.88
  5. Step 5: Solve for x
    x = 204,781,690.88/20,508.08
  6. Step 6: Final answer
    x = 9,985.42

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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.