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Finding the Fourth Proportional to 11,647.64, 17,471.24 and 2,882.55

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Solution

The fourth proportional to 11,647.64, 17,471.24 and 2,882.55 is: 4,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.64 : 17,471.24 = 2,882.55 : x
  2. Step 2: Convert to fraction form
    11,647.64/17,471.24 = 2,882.55/x
  3. Step 3: Cross multiply
    11,647.64x = 17,471.24 × 2,882.55
  4. Step 4: Simplify right side
    11,647.64x = 50,361,708.45
  5. Step 5: Solve for x
    x = 50,361,708.45/11,647.64
  6. Step 6: Final answer
    x = 4,323.77

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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.