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Finding the Fourth Proportional to 12,211.16, 18,305.73 and 4,414.50

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Solution

The fourth proportional to 12,211.16, 18,305.73 and 4,414.50 is: 6,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.16 : 18,305.73 = 4,414.50 : x
  2. Step 2: Convert to fraction form
    12,211.16/18,305.73 = 4,414.50/x
  3. Step 3: Cross multiply
    12,211.16x = 18,305.73 × 4,414.50
  4. Step 4: Simplify right side
    12,211.16x = 80,810,645.09
  5. Step 5: Solve for x
    x = 80,810,645.09/12,211.16
  6. Step 6: Final answer
    x = 6,617.77

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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.