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Finding the Fourth Proportional to 26,576.78, 39,865.23 and 7,857.14

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Solution

The fourth proportional to 26,576.78, 39,865.23 and 7,857.14 is: 11,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576.78 : 39,865.23 = 7,857.14 : x
  2. Step 2: Convert to fraction form
    26,576.78/39,865.23 = 7,857.14/x
  3. Step 3: Cross multiply
    26,576.78x = 39,865.23 × 7,857.14
  4. Step 4: Simplify right side
    26,576.78x = 313,226,493.92
  5. Step 5: Solve for x
    x = 313,226,493.92/26,576.78
  6. Step 6: Final answer
    x = 11,785.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.