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Finding the Fourth Proportional to 12,286.32, 16,954.56 and 7,571.04

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Solution

The fourth proportional to 12,286.32, 16,954.56 and 7,571.04 is: 10,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.32 : 16,954.56 = 7,571.04 : x
  2. Step 2: Convert to fraction form
    12,286.32/16,954.56 = 7,571.04/x
  3. Step 3: Cross multiply
    12,286.32x = 16,954.56 × 7,571.04
  4. Step 4: Simplify right side
    12,286.32x = 128,363,651.94
  5. Step 5: Solve for x
    x = 128,363,651.94/12,286.32
  6. Step 6: Final answer
    x = 10,447.69

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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.