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Finding the Fourth Proportional to 26,296.28, 39,450 and 7,576.16

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Solution

The fourth proportional to 26,296.28, 39,450 and 7,576.16 is: 11,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,296.28 : 39,450 = 7,576.16 : x
  2. Step 2: Convert to fraction form
    26,296.28/39,450 = 7,576.16/x
  3. Step 3: Cross multiply
    26,296.28x = 39,450 × 7,576.16
  4. Step 4: Simplify right side
    26,296.28x = 298,879,512
  5. Step 5: Solve for x
    x = 298,879,512/26,296.28
  6. Step 6: Final answer
    x = 11,365.85

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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.