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Finding the Fourth Proportional to 13,796.72, 20,695.13 and 3,408.47

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Solution

The fourth proportional to 13,796.72, 20,695.13 and 3,408.47 is: 5,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.72 : 20,695.13 = 3,408.47 : x
  2. Step 2: Convert to fraction form
    13,796.72/20,695.13 = 3,408.47/x
  3. Step 3: Cross multiply
    13,796.72x = 20,695.13 × 3,408.47
  4. Step 4: Simplify right side
    13,796.72x = 70,538,699.62
  5. Step 5: Solve for x
    x = 70,538,699.62/13,796.72
  6. Step 6: Final answer
    x = 5,112.72

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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.