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Finding the Fourth Proportional to 17,610.37, 26,424.16 and 7,748.42

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Solution

The fourth proportional to 17,610.37, 26,424.16 and 7,748.42 is: 11,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,610.37 : 26,424.16 = 7,748.42 : x
  2. Step 2: Convert to fraction form
    17,610.37/26,424.16 = 7,748.42/x
  3. Step 3: Cross multiply
    17,610.37x = 26,424.16 × 7,748.42
  4. Step 4: Simplify right side
    17,610.37x = 204,745,338.34
  5. Step 5: Solve for x
    x = 204,745,338.34/17,610.37
  6. Step 6: Final answer
    x = 11,626.41

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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.