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Finding the Fourth Proportional to 26,381.75, 39,576.50 and 7,659.33

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Solution

The fourth proportional to 26,381.75, 39,576.50 and 7,659.33 is: 11,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381.75 : 39,576.50 = 7,659.33 : x
  2. Step 2: Convert to fraction form
    26,381.75/39,576.50 = 7,659.33/x
  3. Step 3: Cross multiply
    26,381.75x = 39,576.50 × 7,659.33
  4. Step 4: Simplify right side
    26,381.75x = 303,129,435.45
  5. Step 5: Solve for x
    x = 303,129,435.45/26,381.75
  6. Step 6: Final answer
    x = 11,490.12

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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.