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Finding the Fourth Proportional to 13,874.22, 20,813.40 and 5,108.47

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Solution

The fourth proportional to 13,874.22, 20,813.40 and 5,108.47 is: 7,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.22 : 20,813.40 = 5,108.47 : x
  2. Step 2: Convert to fraction form
    13,874.22/20,813.40 = 5,108.47/x
  3. Step 3: Cross multiply
    13,874.22x = 20,813.40 × 5,108.47
  4. Step 4: Simplify right side
    13,874.22x = 106,324,629.50
  5. Step 5: Solve for x
    x = 106,324,629.50/13,874.22
  6. Step 6: Final answer
    x = 7,663.47

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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.