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Finding the Fourth Proportional to 12,850.84, 17,731.56 and 8,865.64

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Solution

The fourth proportional to 12,850.84, 17,731.56 and 8,865.64 is: 12,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.84 : 17,731.56 = 8,865.64 : x
  2. Step 2: Convert to fraction form
    12,850.84/17,731.56 = 8,865.64/x
  3. Step 3: Cross multiply
    12,850.84x = 17,731.56 × 8,865.64
  4. Step 4: Simplify right side
    12,850.84x = 157,201,583.27
  5. Step 5: Solve for x
    x = 157,201,583.27/12,850.84
  6. Step 6: Final answer
    x = 12,232.79

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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.