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Finding the Fourth Proportional to 13,723.06, 18,937.83 and 7,435.44

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Solution

The fourth proportional to 13,723.06, 18,937.83 and 7,435.44 is: 10,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.06 : 18,937.83 = 7,435.44 : x
  2. Step 2: Convert to fraction form
    13,723.06/18,937.83 = 7,435.44/x
  3. Step 3: Cross multiply
    13,723.06x = 18,937.83 × 7,435.44
  4. Step 4: Simplify right side
    13,723.06x = 140,811,098.70
  5. Step 5: Solve for x
    x = 140,811,098.70/13,723.06
  6. Step 6: Final answer
    x = 10,260.91

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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.