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Finding the Fourth Proportional to 13,813.48, 20,738.28 and 8,201.39

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Solution

The fourth proportional to 13,813.48, 20,738.28 and 8,201.39 is: 12,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.48 : 20,738.28 = 8,201.39 : x
  2. Step 2: Convert to fraction form
    13,813.48/20,738.28 = 8,201.39/x
  3. Step 3: Cross multiply
    13,813.48x = 20,738.28 × 8,201.39
  4. Step 4: Simplify right side
    13,813.48x = 170,082,722.21
  5. Step 5: Solve for x
    x = 170,082,722.21/13,813.48
  6. Step 6: Final answer
    x = 12,312.81

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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.