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Finding the Fourth Proportional to 12,277.32, 16,936.88 and 8,299.80

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Solution

The fourth proportional to 12,277.32, 16,936.88 and 8,299.80 is: 11,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.32 : 16,936.88 = 8,299.80 : x
  2. Step 2: Convert to fraction form
    12,277.32/16,936.88 = 8,299.80/x
  3. Step 3: Cross multiply
    12,277.32x = 16,936.88 × 8,299.80
  4. Step 4: Simplify right side
    12,277.32x = 140,572,716.62
  5. Step 5: Solve for x
    x = 140,572,716.62/12,277.32
  6. Step 6: Final answer
    x = 11,449.79

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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.