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Finding the Fourth Proportional to 27,570.64, 41,343.22 and 8,847.20

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Solution

The fourth proportional to 27,570.64, 41,343.22 and 8,847.20 is: 13,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.64 : 41,343.22 = 8,847.20 : x
  2. Step 2: Convert to fraction form
    27,570.64/41,343.22 = 8,847.20/x
  3. Step 3: Cross multiply
    27,570.64x = 41,343.22 × 8,847.20
  4. Step 4: Simplify right side
    27,570.64x = 365,771,735.98
  5. Step 5: Solve for x
    x = 365,771,735.98/27,570.64
  6. Step 6: Final answer
    x = 13,266.71

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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.