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Finding the Fourth Proportional to 20,125.78, 27,783.57 and 12,576.30

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Solution

The fourth proportional to 20,125.78, 27,783.57 and 12,576.30 is: 17,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.78 : 27,783.57 = 12,576.30 : x
  2. Step 2: Convert to fraction form
    20,125.78/27,783.57 = 12,576.30/x
  3. Step 3: Cross multiply
    20,125.78x = 27,783.57 × 12,576.30
  4. Step 4: Simplify right side
    20,125.78x = 349,414,511.39
  5. Step 5: Solve for x
    x = 349,414,511.39/20,125.78
  6. Step 6: Final answer
    x = 17,361.54

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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.