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Finding the Fourth Proportional to 22,195.94, 30,629.14 and 12,122.38

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Solution

The fourth proportional to 22,195.94, 30,629.14 and 12,122.38 is: 16,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,195.94 : 30,629.14 = 12,122.38 : x
  2. Step 2: Convert to fraction form
    22,195.94/30,629.14 = 12,122.38/x
  3. Step 3: Cross multiply
    22,195.94x = 30,629.14 × 12,122.38
  4. Step 4: Simplify right side
    22,195.94x = 371,298,074.15
  5. Step 5: Solve for x
    x = 371,298,074.15/22,195.94
  6. Step 6: Final answer
    x = 16,728.20

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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.