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Finding the Fourth Proportional to 13,453.69, 20,180.49 and 4,093.66

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Solution

The fourth proportional to 13,453.69, 20,180.49 and 4,093.66 is: 6,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.69 : 20,180.49 = 4,093.66 : x
  2. Step 2: Convert to fraction form
    13,453.69/20,180.49 = 4,093.66/x
  3. Step 3: Cross multiply
    13,453.69x = 20,180.49 × 4,093.66
  4. Step 4: Simplify right side
    13,453.69x = 82,612,064.69
  5. Step 5: Solve for x
    x = 82,612,064.69/13,453.69
  6. Step 6: Final answer
    x = 6,140.48

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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.