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Finding the Fourth Proportional to 11,997.76, 18,008.16 and 11,243.20

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Solution

The fourth proportional to 11,997.76, 18,008.16 and 11,243.20 is: 16,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.76 : 18,008.16 = 11,243.20 : x
  2. Step 2: Convert to fraction form
    11,997.76/18,008.16 = 11,243.20/x
  3. Step 3: Cross multiply
    11,997.76x = 18,008.16 × 11,243.20
  4. Step 4: Simplify right side
    11,997.76x = 202,469,344.51
  5. Step 5: Solve for x
    x = 202,469,344.51/11,997.76
  6. Step 6: Final answer
    x = 16,875.60

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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.