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Finding the Fourth Proportional to 13,232.82, 18,262.74 and 7,568.09

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Solution

The fourth proportional to 13,232.82, 18,262.74 and 7,568.09 is: 10,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.82 : 18,262.74 = 7,568.09 : x
  2. Step 2: Convert to fraction form
    13,232.82/18,262.74 = 7,568.09/x
  3. Step 3: Cross multiply
    13,232.82x = 18,262.74 × 7,568.09
  4. Step 4: Simplify right side
    13,232.82x = 138,214,059.97
  5. Step 5: Solve for x
    x = 138,214,059.97/13,232.82
  6. Step 6: Final answer
    x = 10,444.79

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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.