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Finding the Fourth Proportional to 12,178.40, 18,269.14 and 3,855.44

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Solution

The fourth proportional to 12,178.40, 18,269.14 and 3,855.44 is: 5,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.40 : 18,269.14 = 3,855.44 : x
  2. Step 2: Convert to fraction form
    12,178.40/18,269.14 = 3,855.44/x
  3. Step 3: Cross multiply
    12,178.40x = 18,269.14 × 3,855.44
  4. Step 4: Simplify right side
    12,178.40x = 70,435,600.83
  5. Step 5: Solve for x
    x = 70,435,600.83/12,178.40
  6. Step 6: Final answer
    x = 5,783.65

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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.