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Finding the Fourth Proportional to 16,583.38, 24,859.44 and 8,255.52

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Solution

The fourth proportional to 16,583.38, 24,859.44 and 8,255.52 is: 12,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.38 : 24,859.44 = 8,255.52 : x
  2. Step 2: Convert to fraction form
    16,583.38/24,859.44 = 8,255.52/x
  3. Step 3: Cross multiply
    16,583.38x = 24,859.44 × 8,255.52
  4. Step 4: Simplify right side
    16,583.38x = 205,227,604.11
  5. Step 5: Solve for x
    x = 205,227,604.11/16,583.38
  6. Step 6: Final answer
    x = 12,375.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.