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Finding the Fourth Proportional to 26,884.64, 40,327.02 and 8,164.82

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Solution

The fourth proportional to 26,884.64, 40,327.02 and 8,164.82 is: 12,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.64 : 40,327.02 = 8,164.82 : x
  2. Step 2: Convert to fraction form
    26,884.64/40,327.02 = 8,164.82/x
  3. Step 3: Cross multiply
    26,884.64x = 40,327.02 × 8,164.82
  4. Step 4: Simplify right side
    26,884.64x = 329,262,859.44
  5. Step 5: Solve for x
    x = 329,262,859.44/26,884.64
  6. Step 6: Final answer
    x = 12,247.25

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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.