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Finding the Fourth Proportional to 13,083.05, 18,043.46 and 8,832.98

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Solution

The fourth proportional to 13,083.05, 18,043.46 and 8,832.98 is: 12,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.05 : 18,043.46 = 8,832.98 : x
  2. Step 2: Convert to fraction form
    13,083.05/18,043.46 = 8,832.98/x
  3. Step 3: Cross multiply
    13,083.05x = 18,043.46 × 8,832.98
  4. Step 4: Simplify right side
    13,083.05x = 159,377,555.38
  5. Step 5: Solve for x
    x = 159,377,555.38/13,083.05
  6. Step 6: Final answer
    x = 12,181.99

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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.