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Finding the Fourth Proportional to 11,922.68, 16,443.90 and 8,336.45

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Solution

The fourth proportional to 11,922.68, 16,443.90 and 8,336.45 is: 11,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.68 : 16,443.90 = 8,336.45 : x
  2. Step 2: Convert to fraction form
    11,922.68/16,443.90 = 8,336.45/x
  3. Step 3: Cross multiply
    11,922.68x = 16,443.90 × 8,336.45
  4. Step 4: Simplify right side
    11,922.68x = 137,083,667.94
  5. Step 5: Solve for x
    x = 137,083,667.94/11,922.68
  6. Step 6: Final answer
    x = 11,497.73

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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.