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Finding the Fourth Proportional to 12,758.53, 17,606.97 and 7,016.22

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Solution

The fourth proportional to 12,758.53, 17,606.97 and 7,016.22 is: 9,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.53 : 17,606.97 = 7,016.22 : x
  2. Step 2: Convert to fraction form
    12,758.53/17,606.97 = 7,016.22/x
  3. Step 3: Cross multiply
    12,758.53x = 17,606.97 × 7,016.22
  4. Step 4: Simplify right side
    12,758.53x = 123,534,375.05
  5. Step 5: Solve for x
    x = 123,534,375.05/12,758.53
  6. Step 6: Final answer
    x = 9,682.49

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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.