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Finding the Fourth Proportional to 11,234.05, 16,830.01 and 9,396.97

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Solution

The fourth proportional to 11,234.05, 16,830.01 and 9,396.97 is: 14,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.05 : 16,830.01 = 9,396.97 : x
  2. Step 2: Convert to fraction form
    11,234.05/16,830.01 = 9,396.97/x
  3. Step 3: Cross multiply
    11,234.05x = 16,830.01 × 9,396.97
  4. Step 4: Simplify right side
    11,234.05x = 158,151,099.07
  5. Step 5: Solve for x
    x = 158,151,099.07/11,234.05
  6. Step 6: Final answer
    x = 14,077.83

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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.