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Finding the Fourth Proportional to 13,846.72, 20,770.09 and 3,458.47

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Solution

The fourth proportional to 13,846.72, 20,770.09 and 3,458.47 is: 5,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.72 : 20,770.09 = 3,458.47 : x
  2. Step 2: Convert to fraction form
    13,846.72/20,770.09 = 3,458.47/x
  3. Step 3: Cross multiply
    13,846.72x = 20,770.09 × 3,458.47
  4. Step 4: Simplify right side
    13,846.72x = 71,832,733.16
  5. Step 5: Solve for x
    x = 71,832,733.16/13,846.72
  6. Step 6: Final answer
    x = 5,187.71

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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.