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Finding the Fourth Proportional to 12,674.84, 17,493 and 7,965.48

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Solution

The fourth proportional to 12,674.84, 17,493 and 7,965.48 is: 10,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.84 : 17,493 = 7,965.48 : x
  2. Step 2: Convert to fraction form
    12,674.84/17,493 = 7,965.48/x
  3. Step 3: Cross multiply
    12,674.84x = 17,493 × 7,965.48
  4. Step 4: Simplify right side
    12,674.84x = 139,340,141.64
  5. Step 5: Solve for x
    x = 139,340,141.64/12,674.84
  6. Step 6: Final answer
    x = 10,993.44

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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.