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Finding the Fourth Proportional to 12,102.41, 18,153.63 and 3,782.47

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Solution

The fourth proportional to 12,102.41, 18,153.63 and 3,782.47 is: 5,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.41 : 18,153.63 = 3,782.47 : x
  2. Step 2: Convert to fraction form
    12,102.41/18,153.63 = 3,782.47/x
  3. Step 3: Cross multiply
    12,102.41x = 18,153.63 × 3,782.47
  4. Step 4: Simplify right side
    12,102.41x = 68,665,611.88
  5. Step 5: Solve for x
    x = 68,665,611.88/12,102.41
  6. Step 6: Final answer
    x = 5,673.71

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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.