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Finding the Fourth Proportional to 12,003.14, 18,007.41 and 3,683.90

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Solution

The fourth proportional to 12,003.14, 18,007.41 and 3,683.90 is: 5,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.14 : 18,007.41 = 3,683.90 : x
  2. Step 2: Convert to fraction form
    12,003.14/18,007.41 = 3,683.90/x
  3. Step 3: Cross multiply
    12,003.14x = 18,007.41 × 3,683.90
  4. Step 4: Simplify right side
    12,003.14x = 66,337,497.70
  5. Step 5: Solve for x
    x = 66,337,497.70/12,003.14
  6. Step 6: Final answer
    x = 5,526.68

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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.