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Finding the Fourth Proportional to 22,171.38, 30,596.24 and 12,099.99

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Solution

The fourth proportional to 22,171.38, 30,596.24 and 12,099.99 is: 16,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.38 : 30,596.24 = 12,099.99 : x
  2. Step 2: Convert to fraction form
    22,171.38/30,596.24 = 12,099.99/x
  3. Step 3: Cross multiply
    22,171.38x = 30,596.24 × 12,099.99
  4. Step 4: Simplify right side
    22,171.38x = 370,214,137.54
  5. Step 5: Solve for x
    x = 370,214,137.54/22,171.38
  6. Step 6: Final answer
    x = 16,697.84

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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.