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Finding the Fourth Proportional to 20,413.85, 30,623.57 and 7,263.05

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Solution

The fourth proportional to 20,413.85, 30,623.57 and 7,263.05 is: 10,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.85 : 30,623.57 = 7,263.05 : x
  2. Step 2: Convert to fraction form
    20,413.85/30,623.57 = 7,263.05/x
  3. Step 3: Cross multiply
    20,413.85x = 30,623.57 × 7,263.05
  4. Step 4: Simplify right side
    20,413.85x = 222,420,483.77
  5. Step 5: Solve for x
    x = 222,420,483.77/20,413.85
  6. Step 6: Final answer
    x = 10,895.57

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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.