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Finding the Fourth Proportional to 12,064.14, 18,097.83 and 3,745.44

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Solution

The fourth proportional to 12,064.14, 18,097.83 and 3,745.44 is: 5,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.14 : 18,097.83 = 3,745.44 : x
  2. Step 2: Convert to fraction form
    12,064.14/18,097.83 = 3,745.44/x
  3. Step 3: Cross multiply
    12,064.14x = 18,097.83 × 3,745.44
  4. Step 4: Simplify right side
    12,064.14x = 67,784,336.40
  5. Step 5: Solve for x
    x = 67,784,336.40/12,064.14
  6. Step 6: Final answer
    x = 5,618.66

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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.