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Finding the Fourth Proportional to 20,690.67, 31,033.05 and 6,648.85

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Solution

The fourth proportional to 20,690.67, 31,033.05 and 6,648.85 is: 9,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.67 : 31,033.05 = 6,648.85 : x
  2. Step 2: Convert to fraction form
    20,690.67/31,033.05 = 6,648.85/x
  3. Step 3: Cross multiply
    20,690.67x = 31,033.05 × 6,648.85
  4. Step 4: Simplify right side
    20,690.67x = 206,334,073.28
  5. Step 5: Solve for x
    x = 206,334,073.28/20,690.67
  6. Step 6: Final answer
    x = 9,972.32

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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.