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Finding the Fourth Proportional to 27,128.64, 40,690.65 and 8,408.25

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Solution

The fourth proportional to 27,128.64, 40,690.65 and 8,408.25 is: 12,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128.64 : 40,690.65 = 8,408.25 : x
  2. Step 2: Convert to fraction form
    27,128.64/40,690.65 = 8,408.25/x
  3. Step 3: Cross multiply
    27,128.64x = 40,690.65 × 8,408.25
  4. Step 4: Simplify right side
    27,128.64x = 342,137,157.86
  5. Step 5: Solve for x
    x = 342,137,157.86/27,128.64
  6. Step 6: Final answer
    x = 12,611.66

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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.