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Finding the Fourth Proportional to 22,194.62, 30,628.68 and 12,123.20

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Solution

The fourth proportional to 22,194.62, 30,628.68 and 12,123.20 is: 16,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194.62 : 30,628.68 = 12,123.20 : x
  2. Step 2: Convert to fraction form
    22,194.62/30,628.68 = 12,123.20/x
  3. Step 3: Cross multiply
    22,194.62x = 30,628.68 × 12,123.20
  4. Step 4: Simplify right side
    22,194.62x = 371,317,613.38
  5. Step 5: Solve for x
    x = 371,317,613.38/22,194.62
  6. Step 6: Final answer
    x = 16,730.07

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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.