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Finding the Fourth Proportional to 12,687.98, 17,509.20 and 7,022.28

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Solution

The fourth proportional to 12,687.98, 17,509.20 and 7,022.28 is: 9,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.98 : 17,509.20 = 7,022.28 : x
  2. Step 2: Convert to fraction form
    12,687.98/17,509.20 = 7,022.28/x
  3. Step 3: Cross multiply
    12,687.98x = 17,509.20 × 7,022.28
  4. Step 4: Simplify right side
    12,687.98x = 122,954,504.98
  5. Step 5: Solve for x
    x = 122,954,504.98/12,687.98
  6. Step 6: Final answer
    x = 9,690.63

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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.