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Finding the Fourth Proportional to 12,179.94, 18,267.77 and 3,415.53

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Solution

The fourth proportional to 12,179.94, 18,267.77 and 3,415.53 is: 5,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.94 : 18,267.77 = 3,415.53 : x
  2. Step 2: Convert to fraction form
    12,179.94/18,267.77 = 3,415.53/x
  3. Step 3: Cross multiply
    12,179.94x = 18,267.77 × 3,415.53
  4. Step 4: Simplify right side
    12,179.94x = 62,394,099.39
  5. Step 5: Solve for x
    x = 62,394,099.39/12,179.94
  6. Step 6: Final answer
    x = 5,122.69

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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.