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Finding the Fourth Proportional to 12,716.39, 17,549.66 and 7,052.92

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Solution

The fourth proportional to 12,716.39, 17,549.66 and 7,052.92 is: 9,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.39 : 17,549.66 = 7,052.92 : x
  2. Step 2: Convert to fraction form
    12,716.39/17,549.66 = 7,052.92/x
  3. Step 3: Cross multiply
    12,716.39x = 17,549.66 × 7,052.92
  4. Step 4: Simplify right side
    12,716.39x = 123,776,348.01
  5. Step 5: Solve for x
    x = 123,776,348.01/12,716.39
  6. Step 6: Final answer
    x = 9,733.61

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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.