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Finding the Fourth Proportional to 26,181, 39,247.16 and 9,537.26

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Solution

The fourth proportional to 26,181, 39,247.16 and 9,537.26 is: 14,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181 : 39,247.16 = 9,537.26 : x
  2. Step 2: Convert to fraction form
    26,181/39,247.16 = 9,537.26/x
  3. Step 3: Cross multiply
    26,181x = 39,247.16 × 9,537.26
  4. Step 4: Simplify right side
    26,181x = 374,310,125.26
  5. Step 5: Solve for x
    x = 374,310,125.26/26,181
  6. Step 6: Final answer
    x = 14,297.01

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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.