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Finding the Fourth Proportional to 12,414.84, 18,622.26 and 3,180.84

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Solution

The fourth proportional to 12,414.84, 18,622.26 and 3,180.84 is: 4,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.84 : 18,622.26 = 3,180.84 : x
  2. Step 2: Convert to fraction form
    12,414.84/18,622.26 = 3,180.84/x
  3. Step 3: Cross multiply
    12,414.84x = 18,622.26 × 3,180.84
  4. Step 4: Simplify right side
    12,414.84x = 59,234,429.50
  5. Step 5: Solve for x
    x = 59,234,429.50/12,414.84
  6. Step 6: Final answer
    x = 4,771.26

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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.