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Finding the Fourth Proportional to 26,107.75, 39,161.64 and 7,639.75

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Solution

The fourth proportional to 26,107.75, 39,161.64 and 7,639.75 is: 11,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,107.75 : 39,161.64 = 7,639.75 : x
  2. Step 2: Convert to fraction form
    26,107.75/39,161.64 = 7,639.75/x
  3. Step 3: Cross multiply
    26,107.75x = 39,161.64 × 7,639.75
  4. Step 4: Simplify right side
    26,107.75x = 299,185,139.19
  5. Step 5: Solve for x
    x = 299,185,139.19/26,107.75
  6. Step 6: Final answer
    x = 11,459.63

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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.