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Finding the Fourth Proportional to 12,777.28, 17,627.02 and 8,524.31

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Solution

The fourth proportional to 12,777.28, 17,627.02 and 8,524.31 is: 11,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.28 : 17,627.02 = 8,524.31 : x
  2. Step 2: Convert to fraction form
    12,777.28/17,627.02 = 8,524.31/x
  3. Step 3: Cross multiply
    12,777.28x = 17,627.02 × 8,524.31
  4. Step 4: Simplify right side
    12,777.28x = 150,258,073.41
  5. Step 5: Solve for x
    x = 150,258,073.41/12,777.28
  6. Step 6: Final answer
    x = 11,759.79

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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.