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Finding the Fourth Proportional to 12,305.94, 18,431.37 and 5,722.26

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Solution

The fourth proportional to 12,305.94, 18,431.37 and 5,722.26 is: 8,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.94 : 18,431.37 = 5,722.26 : x
  2. Step 2: Convert to fraction form
    12,305.94/18,431.37 = 5,722.26/x
  3. Step 3: Cross multiply
    12,305.94x = 18,431.37 × 5,722.26
  4. Step 4: Simplify right side
    12,305.94x = 105,469,091.30
  5. Step 5: Solve for x
    x = 105,469,091.30/12,305.94
  6. Step 6: Final answer
    x = 8,570.58

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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.