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Finding the Fourth Proportional to 17,540.64, 24,193.20 and 11,576.88

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Solution

The fourth proportional to 17,540.64, 24,193.20 and 11,576.88 is: 15,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.64 : 24,193.20 = 11,576.88 : x
  2. Step 2: Convert to fraction form
    17,540.64/24,193.20 = 11,576.88/x
  3. Step 3: Cross multiply
    17,540.64x = 24,193.20 × 11,576.88
  4. Step 4: Simplify right side
    17,540.64x = 280,081,773.22
  5. Step 5: Solve for x
    x = 280,081,773.22/17,540.64
  6. Step 6: Final answer
    x = 15,967.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.