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Finding the Fourth Proportional to 12,732.48, 17,568.03 and 7,696.61

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Solution

The fourth proportional to 12,732.48, 17,568.03 and 7,696.61 is: 10,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.48 : 17,568.03 = 7,696.61 : x
  2. Step 2: Convert to fraction form
    12,732.48/17,568.03 = 7,696.61/x
  3. Step 3: Cross multiply
    12,732.48x = 17,568.03 × 7,696.61
  4. Step 4: Simplify right side
    12,732.48x = 135,214,187.54
  5. Step 5: Solve for x
    x = 135,214,187.54/12,732.48
  6. Step 6: Final answer
    x = 10,619.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.