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Finding the Fourth Proportional to 12,076.69, 18,115.64 and 4,286.11

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Solution

The fourth proportional to 12,076.69, 18,115.64 and 4,286.11 is: 6,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.69 : 18,115.64 = 4,286.11 : x
  2. Step 2: Convert to fraction form
    12,076.69/18,115.64 = 4,286.11/x
  3. Step 3: Cross multiply
    12,076.69x = 18,115.64 × 4,286.11
  4. Step 4: Simplify right side
    12,076.69x = 77,645,591.19
  5. Step 5: Solve for x
    x = 77,645,591.19/12,076.69
  6. Step 6: Final answer
    x = 6,429.38

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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.