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Finding the Fourth Proportional to 12,571.28, 17,338.64 and 9,212.84

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Solution

The fourth proportional to 12,571.28, 17,338.64 and 9,212.84 is: 12,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.28 : 17,338.64 = 9,212.84 : x
  2. Step 2: Convert to fraction form
    12,571.28/17,338.64 = 9,212.84/x
  3. Step 3: Cross multiply
    12,571.28x = 17,338.64 × 9,212.84
  4. Step 4: Simplify right side
    12,571.28x = 159,738,116.14
  5. Step 5: Solve for x
    x = 159,738,116.14/12,571.28
  6. Step 6: Final answer
    x = 12,706.59

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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.