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Finding the Fourth Proportional to 12,099.38, 18,141.18 and 5,083.88

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Solution

The fourth proportional to 12,099.38, 18,141.18 and 5,083.88 is: 7,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.38 : 18,141.18 = 5,083.88 : x
  2. Step 2: Convert to fraction form
    12,099.38/18,141.18 = 5,083.88/x
  3. Step 3: Cross multiply
    12,099.38x = 18,141.18 × 5,083.88
  4. Step 4: Simplify right side
    12,099.38x = 92,227,582.18
  5. Step 5: Solve for x
    x = 92,227,582.18/12,099.38
  6. Step 6: Final answer
    x = 7,622.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.