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Finding the Fourth Proportional to 20,289.75, 30,413.70 and 8,450.40

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Solution

The fourth proportional to 20,289.75, 30,413.70 and 8,450.40 is: 12,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.75 : 30,413.70 = 8,450.40 : x
  2. Step 2: Convert to fraction form
    20,289.75/30,413.70 = 8,450.40/x
  3. Step 3: Cross multiply
    20,289.75x = 30,413.70 × 8,450.40
  4. Step 4: Simplify right side
    20,289.75x = 257,007,930.48
  5. Step 5: Solve for x
    x = 257,007,930.48/20,289.75
  6. Step 6: Final answer
    x = 12,666.89

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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.