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Finding the Fourth Proportional to 13,751.46, 18,977.34 and 8,443.26

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Solution

The fourth proportional to 13,751.46, 18,977.34 and 8,443.26 is: 11,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.46 : 18,977.34 = 8,443.26 : x
  2. Step 2: Convert to fraction form
    13,751.46/18,977.34 = 8,443.26/x
  3. Step 3: Cross multiply
    13,751.46x = 18,977.34 × 8,443.26
  4. Step 4: Simplify right side
    13,751.46x = 160,230,615.73
  5. Step 5: Solve for x
    x = 160,230,615.73/13,751.46
  6. Step 6: Final answer
    x = 11,651.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.