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Finding the Fourth Proportional to 12,694.82, 17,519.03 and 7,314.28

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Solution

The fourth proportional to 12,694.82, 17,519.03 and 7,314.28 is: 10,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.82 : 17,519.03 = 7,314.28 : x
  2. Step 2: Convert to fraction form
    12,694.82/17,519.03 = 7,314.28/x
  3. Step 3: Cross multiply
    12,694.82x = 17,519.03 × 7,314.28
  4. Step 4: Simplify right side
    12,694.82x = 128,139,103.50
  5. Step 5: Solve for x
    x = 128,139,103.50/12,694.82
  6. Step 6: Final answer
    x = 10,093.81

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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.