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Finding the Fourth Proportional to 12,377.20, 18,567 and 3,611.92

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Solution

The fourth proportional to 12,377.20, 18,567 and 3,611.92 is: 5,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.20 : 18,567 = 3,611.92 : x
  2. Step 2: Convert to fraction form
    12,377.20/18,567 = 3,611.92/x
  3. Step 3: Cross multiply
    12,377.20x = 18,567 × 3,611.92
  4. Step 4: Simplify right side
    12,377.20x = 67,062,518.64
  5. Step 5: Solve for x
    x = 67,062,518.64/12,377.20
  6. Step 6: Final answer
    x = 5,418.23

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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.