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Finding the Fourth Proportional to 22,171.32, 30,596.43 and 12,099.58

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Solution

The fourth proportional to 22,171.32, 30,596.43 and 12,099.58 is: 16,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.32 : 30,596.43 = 12,099.58 : x
  2. Step 2: Convert to fraction form
    22,171.32/30,596.43 = 12,099.58/x
  3. Step 3: Cross multiply
    22,171.32x = 30,596.43 × 12,099.58
  4. Step 4: Simplify right side
    22,171.32x = 370,203,921.38
  5. Step 5: Solve for x
    x = 370,203,921.38/22,171.32
  6. Step 6: Final answer
    x = 16,697.42

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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.