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Finding the Fourth Proportional to 13,486.10, 20,229.12 and 6,272.54

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Solution

The fourth proportional to 13,486.10, 20,229.12 and 6,272.54 is: 9,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.10 : 20,229.12 = 6,272.54 : x
  2. Step 2: Convert to fraction form
    13,486.10/20,229.12 = 6,272.54/x
  3. Step 3: Cross multiply
    13,486.10x = 20,229.12 × 6,272.54
  4. Step 4: Simplify right side
    13,486.10x = 126,887,964.36
  5. Step 5: Solve for x
    x = 126,887,964.36/13,486.10
  6. Step 6: Final answer
    x = 9,408.80

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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.