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Finding the Fourth Proportional to 12,288.00, 18,400.73 and 8,121.77

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Solution

The fourth proportional to 12,288.00, 18,400.73 and 8,121.77 is: 12,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.00 : 18,400.73 = 8,121.77 : x
  2. Step 2: Convert to fraction form
    12,288.00/18,400.73 = 8,121.77/x
  3. Step 3: Cross multiply
    12,288.00x = 18,400.73 × 8,121.77
  4. Step 4: Simplify right side
    12,288.00x = 149,446,490.39
  5. Step 5: Solve for x
    x = 149,446,490.39/12,288.00
  6. Step 6: Final answer
    x = 12,161.98

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