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Finding the Fourth Proportional to 17,797.72, 24,558.97 and 9,838.66

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Solution

The fourth proportional to 17,797.72, 24,558.97 and 9,838.66 is: 13,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.72 : 24,558.97 = 9,838.66 : x
  2. Step 2: Convert to fraction form
    17,797.72/24,558.97 = 9,838.66/x
  3. Step 3: Cross multiply
    17,797.72x = 24,558.97 × 9,838.66
  4. Step 4: Simplify right side
    17,797.72x = 241,627,183.79
  5. Step 5: Solve for x
    x = 241,627,183.79/17,797.72
  6. Step 6: Final answer
    x = 13,576.30

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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.