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Finding the Fourth Proportional to 13,163.83, 18,164.06 and 7,573.75

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Solution

The fourth proportional to 13,163.83, 18,164.06 and 7,573.75 is: 10,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.83 : 18,164.06 = 7,573.75 : x
  2. Step 2: Convert to fraction form
    13,163.83/18,164.06 = 7,573.75/x
  3. Step 3: Cross multiply
    13,163.83x = 18,164.06 × 7,573.75
  4. Step 4: Simplify right side
    13,163.83x = 137,570,011.56
  5. Step 5: Solve for x
    x = 137,570,011.56/13,163.83
  6. Step 6: Final answer
    x = 10,450.61

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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.