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Finding the Fourth Proportional to 13,605.32, 20,414.25 and 6,212.04

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Solution

The fourth proportional to 13,605.32, 20,414.25 and 6,212.04 is: 9,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.32 : 20,414.25 = 6,212.04 : x
  2. Step 2: Convert to fraction form
    13,605.32/20,414.25 = 6,212.04/x
  3. Step 3: Cross multiply
    13,605.32x = 20,414.25 × 6,212.04
  4. Step 4: Simplify right side
    13,605.32x = 126,814,137.57
  5. Step 5: Solve for x
    x = 126,814,137.57/13,605.32
  6. Step 6: Final answer
    x = 9,320.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.