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Finding the Fourth Proportional to 13,523.94, 20,290.05 and 6,413.67

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Solution

The fourth proportional to 13,523.94, 20,290.05 and 6,413.67 is: 9,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.94 : 20,290.05 = 6,413.67 : x
  2. Step 2: Convert to fraction form
    13,523.94/20,290.05 = 6,413.67/x
  3. Step 3: Cross multiply
    13,523.94x = 20,290.05 × 6,413.67
  4. Step 4: Simplify right side
    13,523.94x = 130,133,684.98
  5. Step 5: Solve for x
    x = 130,133,684.98/13,523.94
  6. Step 6: Final answer
    x = 9,622.47

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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.