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Finding the Fourth Proportional to 16,015.17, 22,099.25 and 9,299.49

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Solution

The fourth proportional to 16,015.17, 22,099.25 and 9,299.49 is: 12,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.17 : 22,099.25 = 9,299.49 : x
  2. Step 2: Convert to fraction form
    16,015.17/22,099.25 = 9,299.49/x
  3. Step 3: Cross multiply
    16,015.17x = 22,099.25 × 9,299.49
  4. Step 4: Simplify right side
    16,015.17x = 205,511,754.38
  5. Step 5: Solve for x
    x = 205,511,754.38/16,015.17
  6. Step 6: Final answer
    x = 12,832.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.