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Finding the Fourth Proportional to 13,997.20, 21,013.62 and 12,035.38

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Solution

The fourth proportional to 13,997.20, 21,013.62 and 12,035.38 is: 18,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.20 : 21,013.62 = 12,035.38 : x
  2. Step 2: Convert to fraction form
    13,997.20/21,013.62 = 12,035.38/x
  3. Step 3: Cross multiply
    13,997.20x = 21,013.62 × 12,035.38
  4. Step 4: Simplify right side
    13,997.20x = 252,906,901.88
  5. Step 5: Solve for x
    x = 252,906,901.88/13,997.20
  6. Step 6: Final answer
    x = 18,068.39

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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.