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Finding the Fourth Proportional to 11,576.89, 17,349.73 and 8,442.22

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Solution

The fourth proportional to 11,576.89, 17,349.73 and 8,442.22 is: 12,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.89 : 17,349.73 = 8,442.22 : x
  2. Step 2: Convert to fraction form
    11,576.89/17,349.73 = 8,442.22/x
  3. Step 3: Cross multiply
    11,576.89x = 17,349.73 × 8,442.22
  4. Step 4: Simplify right side
    11,576.89x = 146,470,237.60
  5. Step 5: Solve for x
    x = 146,470,237.60/11,576.89
  6. Step 6: Final answer
    x = 12,651.95

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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.