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Finding the Fourth Proportional to 13,002.85, 17,939.10 and 8,529.09

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Solution

The fourth proportional to 13,002.85, 17,939.10 and 8,529.09 is: 11,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.85 : 17,939.10 = 8,529.09 : x
  2. Step 2: Convert to fraction form
    13,002.85/17,939.10 = 8,529.09/x
  3. Step 3: Cross multiply
    13,002.85x = 17,939.10 × 8,529.09
  4. Step 4: Simplify right side
    13,002.85x = 153,004,198.42
  5. Step 5: Solve for x
    x = 153,004,198.42/13,002.85
  6. Step 6: Final answer
    x = 11,766.97

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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.