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Finding the Fourth Proportional to 12,716.82, 17,550.24 and 7,052.13

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Solution

The fourth proportional to 12,716.82, 17,550.24 and 7,052.13 is: 9,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.82 : 17,550.24 = 7,052.13 : x
  2. Step 2: Convert to fraction form
    12,716.82/17,550.24 = 7,052.13/x
  3. Step 3: Cross multiply
    12,716.82x = 17,550.24 × 7,052.13
  4. Step 4: Simplify right side
    12,716.82x = 123,766,574.01
  5. Step 5: Solve for x
    x = 123,766,574.01/12,716.82
  6. Step 6: Final answer
    x = 9,732.51

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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.