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Finding the Fourth Proportional to 12,105.02, 16,704.84 and 6,800.30

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Solution

The fourth proportional to 12,105.02, 16,704.84 and 6,800.30 is: 9,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.02 : 16,704.84 = 6,800.30 : x
  2. Step 2: Convert to fraction form
    12,105.02/16,704.84 = 6,800.30/x
  3. Step 3: Cross multiply
    12,105.02x = 16,704.84 × 6,800.30
  4. Step 4: Simplify right side
    12,105.02x = 113,597,923.45
  5. Step 5: Solve for x
    x = 113,597,923.45/12,105.02
  6. Step 6: Final answer
    x = 9,384.36

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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.