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Finding the Fourth Proportional to 26,665.25, 40,004.36 and 8,197.25

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Solution

The fourth proportional to 26,665.25, 40,004.36 and 8,197.25 is: 12,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,665.25 : 40,004.36 = 8,197.25 : x
  2. Step 2: Convert to fraction form
    26,665.25/40,004.36 = 8,197.25/x
  3. Step 3: Cross multiply
    26,665.25x = 40,004.36 × 8,197.25
  4. Step 4: Simplify right side
    26,665.25x = 327,925,699.02
  5. Step 5: Solve for x
    x = 327,925,699.02/26,665.25
  6. Step 6: Final answer
    x = 12,297.87

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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.