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Finding the Fourth Proportional to 13,151.50, 19,736.97 and 6,226

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Solution

The fourth proportional to 13,151.50, 19,736.97 and 6,226 is: 9,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.50 : 19,736.97 = 6,226 : x
  2. Step 2: Convert to fraction form
    13,151.50/19,736.97 = 6,226/x
  3. Step 3: Cross multiply
    13,151.50x = 19,736.97 × 6,226
  4. Step 4: Simplify right side
    13,151.50x = 122,882,375.22
  5. Step 5: Solve for x
    x = 122,882,375.22/13,151.50
  6. Step 6: Final answer
    x = 9,343.60

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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.