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Finding the Fourth Proportional to 26,771.42, 40,159.01 and 10,760.96

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Solution

The fourth proportional to 26,771.42, 40,159.01 and 10,760.96 is: 16,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,771.42 : 40,159.01 = 10,760.96 : x
  2. Step 2: Convert to fraction form
    26,771.42/40,159.01 = 10,760.96/x
  3. Step 3: Cross multiply
    26,771.42x = 40,159.01 × 10,760.96
  4. Step 4: Simplify right side
    26,771.42x = 432,149,627.55
  5. Step 5: Solve for x
    x = 432,149,627.55/26,771.42
  6. Step 6: Final answer
    x = 16,142.20

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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.