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Finding the Fourth Proportional to 26,465, 39,698.94 and 7,998.44

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Solution

The fourth proportional to 26,465, 39,698.94 and 7,998.44 is: 11,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465 : 39,698.94 = 7,998.44 : x
  2. Step 2: Convert to fraction form
    26,465/39,698.94 = 7,998.44/x
  3. Step 3: Cross multiply
    26,465x = 39,698.94 × 7,998.44
  4. Step 4: Simplify right side
    26,465x = 317,529,589.65
  5. Step 5: Solve for x
    x = 317,529,589.65/26,465
  6. Step 6: Final answer
    x = 11,998.10

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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.