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Finding the Fourth Proportional to 26,169.32, 39,249.62 and 7,697

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Solution

The fourth proportional to 26,169.32, 39,249.62 and 7,697 is: 11,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,169.32 : 39,249.62 = 7,697 : x
  2. Step 2: Convert to fraction form
    26,169.32/39,249.62 = 7,697/x
  3. Step 3: Cross multiply
    26,169.32x = 39,249.62 × 7,697
  4. Step 4: Simplify right side
    26,169.32x = 302,104,325.14
  5. Step 5: Solve for x
    x = 302,104,325.14/26,169.32
  6. Step 6: Final answer
    x = 11,544.22

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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.