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Finding the Fourth Proportional to 17,538, 26,311.56 and 5,226

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Solution

The fourth proportional to 17,538, 26,311.56 and 5,226 is: 7,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538 : 26,311.56 = 5,226 : x
  2. Step 2: Convert to fraction form
    17,538/26,311.56 = 5,226/x
  3. Step 3: Cross multiply
    17,538x = 26,311.56 × 5,226
  4. Step 4: Simplify right side
    17,538x = 137,504,212.56
  5. Step 5: Solve for x
    x = 137,504,212.56/17,538
  6. Step 6: Final answer
    x = 7,840.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.