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Finding the Fourth Proportional to 12,406.75, 17,121.36 and 6,817.75

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Solution

The fourth proportional to 12,406.75, 17,121.36 and 6,817.75 is: 9,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.75 : 17,121.36 = 6,817.75 : x
  2. Step 2: Convert to fraction form
    12,406.75/17,121.36 = 6,817.75/x
  3. Step 3: Cross multiply
    12,406.75x = 17,121.36 × 6,817.75
  4. Step 4: Simplify right side
    12,406.75x = 116,729,152.14
  5. Step 5: Solve for x
    x = 116,729,152.14/12,406.75
  6. Step 6: Final answer
    x = 9,408.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.