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Finding the Fourth Proportional to 13,768.89, 20,647.90 and 4,880.80

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Solution

The fourth proportional to 13,768.89, 20,647.90 and 4,880.80 is: 7,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.89 : 20,647.90 = 4,880.80 : x
  2. Step 2: Convert to fraction form
    13,768.89/20,647.90 = 4,880.80/x
  3. Step 3: Cross multiply
    13,768.89x = 20,647.90 × 4,880.80
  4. Step 4: Simplify right side
    13,768.89x = 100,778,270.32
  5. Step 5: Solve for x
    x = 100,778,270.32/13,768.89
  6. Step 6: Final answer
    x = 7,319.27

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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.