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Finding the Fourth Proportional to 18,448, 27,665.83 and 5,964.66

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Solution

The fourth proportional to 18,448, 27,665.83 and 5,964.66 is: 8,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,448 : 27,665.83 = 5,964.66 : x
  2. Step 2: Convert to fraction form
    18,448/27,665.83 = 5,964.66/x
  3. Step 3: Cross multiply
    18,448x = 27,665.83 × 5,964.66
  4. Step 4: Simplify right side
    18,448x = 165,017,269.57
  5. Step 5: Solve for x
    x = 165,017,269.57/18,448
  6. Step 6: Final answer
    x = 8,945.00

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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.