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Finding the Fourth Proportional to 13,413.94, 20,114.39 and 4,052.16

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Solution

The fourth proportional to 13,413.94, 20,114.39 and 4,052.16 is: 6,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.94 : 20,114.39 = 4,052.16 : x
  2. Step 2: Convert to fraction form
    13,413.94/20,114.39 = 4,052.16/x
  3. Step 3: Cross multiply
    13,413.94x = 20,114.39 × 4,052.16
  4. Step 4: Simplify right side
    13,413.94x = 81,506,736.71
  5. Step 5: Solve for x
    x = 81,506,736.71/13,413.94
  6. Step 6: Final answer
    x = 6,076.27

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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.