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Finding the Fourth Proportional to 12,211.90, 16,853.20 and 6,834.80

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Solution

The fourth proportional to 12,211.90, 16,853.20 and 6,834.80 is: 9,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.90 : 16,853.20 = 6,834.80 : x
  2. Step 2: Convert to fraction form
    12,211.90/16,853.20 = 6,834.80/x
  3. Step 3: Cross multiply
    12,211.90x = 16,853.20 × 6,834.80
  4. Step 4: Simplify right side
    12,211.90x = 115,188,251.36
  5. Step 5: Solve for x
    x = 115,188,251.36/12,211.90
  6. Step 6: Final answer
    x = 9,432.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.