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Finding the Fourth Proportional to 11,920.98, 17,877.83 and 8,246.82

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Solution

The fourth proportional to 11,920.98, 17,877.83 and 8,246.82 is: 12,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.98 : 17,877.83 = 8,246.82 : x
  2. Step 2: Convert to fraction form
    11,920.98/17,877.83 = 8,246.82/x
  3. Step 3: Cross multiply
    11,920.98x = 17,877.83 × 8,246.82
  4. Step 4: Simplify right side
    11,920.98x = 147,435,204.77
  5. Step 5: Solve for x
    x = 147,435,204.77/11,920.98
  6. Step 6: Final answer
    x = 12,367.71

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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.