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Finding the Fourth Proportional to 12,377.28, 18,568.09 and 7,383.63

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Solution

The fourth proportional to 12,377.28, 18,568.09 and 7,383.63 is: 11,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.28 : 18,568.09 = 7,383.63 : x
  2. Step 2: Convert to fraction form
    12,377.28/18,568.09 = 7,383.63/x
  3. Step 3: Cross multiply
    12,377.28x = 18,568.09 × 7,383.63
  4. Step 4: Simplify right side
    12,377.28x = 137,099,891.47
  5. Step 5: Solve for x
    x = 137,099,891.47/12,377.28
  6. Step 6: Final answer
    x = 11,076.74

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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.