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Finding the Fourth Proportional to 12,003.71, 18,005.89 and 3,238.60

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Solution

The fourth proportional to 12,003.71, 18,005.89 and 3,238.60 is: 4,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.71 : 18,005.89 = 3,238.60 : x
  2. Step 2: Convert to fraction form
    12,003.71/18,005.89 = 3,238.60/x
  3. Step 3: Cross multiply
    12,003.71x = 18,005.89 × 3,238.60
  4. Step 4: Simplify right side
    12,003.71x = 58,313,822.24
  5. Step 5: Solve for x
    x = 58,313,822.24/12,003.71
  6. Step 6: Final answer
    x = 4,857.99

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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.