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Finding the Fourth Proportional to 13,380.87, 20,064 and 5,583.81

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Solution

The fourth proportional to 13,380.87, 20,064 and 5,583.81 is: 8,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.87 : 20,064 = 5,583.81 : x
  2. Step 2: Convert to fraction form
    13,380.87/20,064 = 5,583.81/x
  3. Step 3: Cross multiply
    13,380.87x = 20,064 × 5,583.81
  4. Step 4: Simplify right side
    13,380.87x = 112,033,563.84
  5. Step 5: Solve for x
    x = 112,033,563.84/13,380.87
  6. Step 6: Final answer
    x = 8,372.67

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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.