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Finding the Fourth Proportional to 26,584.97, 39,885.25 and 7,865.50

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Solution

The fourth proportional to 26,584.97, 39,885.25 and 7,865.50 is: 11,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584.97 : 39,885.25 = 7,865.50 : x
  2. Step 2: Convert to fraction form
    26,584.97/39,885.25 = 7,865.50/x
  3. Step 3: Cross multiply
    26,584.97x = 39,885.25 × 7,865.50
  4. Step 4: Simplify right side
    26,584.97x = 313,717,433.88
  5. Step 5: Solve for x
    x = 313,717,433.88/26,584.97
  6. Step 6: Final answer
    x = 11,800.56

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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.