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Finding the Fourth Proportional to 12,405.75, 17,121.03 and 6,817.83

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Solution

The fourth proportional to 12,405.75, 17,121.03 and 6,817.83 is: 9,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.75 : 17,121.03 = 6,817.83 : x
  2. Step 2: Convert to fraction form
    12,405.75/17,121.03 = 6,817.83/x
  3. Step 3: Cross multiply
    12,405.75x = 17,121.03 × 6,817.83
  4. Step 4: Simplify right side
    12,405.75x = 116,728,271.96
  5. Step 5: Solve for x
    x = 116,728,271.96/12,405.75
  6. Step 6: Final answer
    x = 9,409.21

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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.