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Finding the Fourth Proportional to 16,966.44, 23,413.82 and 9,309.67

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Solution

The fourth proportional to 16,966.44, 23,413.82 and 9,309.67 is: 12,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.44 : 23,413.82 = 9,309.67 : x
  2. Step 2: Convert to fraction form
    16,966.44/23,413.82 = 9,309.67/x
  3. Step 3: Cross multiply
    16,966.44x = 23,413.82 × 9,309.67
  4. Step 4: Simplify right side
    16,966.44x = 217,974,902.38
  5. Step 5: Solve for x
    x = 217,974,902.38/16,966.44
  6. Step 6: Final answer
    x = 12,847.41

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Why These Related Problems?

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