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Finding the Fourth Proportional to 12,146.60, 18,234.30 and 6,885.80

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Solution

The fourth proportional to 12,146.60, 18,234.30 and 6,885.80 is: 10,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.60 : 18,234.30 = 6,885.80 : x
  2. Step 2: Convert to fraction form
    12,146.60/18,234.30 = 6,885.80/x
  3. Step 3: Cross multiply
    12,146.60x = 18,234.30 × 6,885.80
  4. Step 4: Simplify right side
    12,146.60x = 125,557,742.94
  5. Step 5: Solve for x
    x = 125,557,742.94/12,146.60
  6. Step 6: Final answer
    x = 10,336.86

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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.