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Finding the Fourth Proportional to 13,413.30, 20,120.20 and 4,648.50

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Solution

The fourth proportional to 13,413.30, 20,120.20 and 4,648.50 is: 6,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.30 : 20,120.20 = 4,648.50 : x
  2. Step 2: Convert to fraction form
    13,413.30/20,120.20 = 4,648.50/x
  3. Step 3: Cross multiply
    13,413.30x = 20,120.20 × 4,648.50
  4. Step 4: Simplify right side
    13,413.30x = 93,528,749.70
  5. Step 5: Solve for x
    x = 93,528,749.70/13,413.30
  6. Step 6: Final answer
    x = 6,972.84

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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.