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Finding the Fourth Proportional to 12,767.36, 17,618.99 and 7,462.26

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Solution

The fourth proportional to 12,767.36, 17,618.99 and 7,462.26 is: 10,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.36 : 17,618.99 = 7,462.26 : x
  2. Step 2: Convert to fraction form
    12,767.36/17,618.99 = 7,462.26/x
  3. Step 3: Cross multiply
    12,767.36x = 17,618.99 × 7,462.26
  4. Step 4: Simplify right side
    12,767.36x = 131,477,447.01
  5. Step 5: Solve for x
    x = 131,477,447.01/12,767.36
  6. Step 6: Final answer
    x = 10,297.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.