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Finding the Fourth Proportional to 12,003.53, 18,008.34 and 3,683.97

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Solution

The fourth proportional to 12,003.53, 18,008.34 and 3,683.97 is: 5,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.53 : 18,008.34 = 3,683.97 : x
  2. Step 2: Convert to fraction form
    12,003.53/18,008.34 = 3,683.97/x
  3. Step 3: Cross multiply
    12,003.53x = 18,008.34 × 3,683.97
  4. Step 4: Simplify right side
    12,003.53x = 66,342,184.31
  5. Step 5: Solve for x
    x = 66,342,184.31/12,003.53
  6. Step 6: Final answer
    x = 5,526.89

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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.