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Finding the Fourth Proportional to 13,031.85, 17,977.33 and 8,243.73

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Solution

The fourth proportional to 13,031.85, 17,977.33 and 8,243.73 is: 11,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.85 : 17,977.33 = 8,243.73 : x
  2. Step 2: Convert to fraction form
    13,031.85/17,977.33 = 8,243.73/x
  3. Step 3: Cross multiply
    13,031.85x = 17,977.33 × 8,243.73
  4. Step 4: Simplify right side
    13,031.85x = 148,200,234.03
  5. Step 5: Solve for x
    x = 148,200,234.03/13,031.85
  6. Step 6: Final answer
    x = 11,372.16

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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.