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Finding the Fourth Proportional to 13,614.44, 20,416.74 and 4,847.60

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Solution

The fourth proportional to 13,614.44, 20,416.74 and 4,847.60 is: 7,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.44 : 20,416.74 = 4,847.60 : x
  2. Step 2: Convert to fraction form
    13,614.44/20,416.74 = 4,847.60/x
  3. Step 3: Cross multiply
    13,614.44x = 20,416.74 × 4,847.60
  4. Step 4: Simplify right side
    13,614.44x = 98,972,086.74
  5. Step 5: Solve for x
    x = 98,972,086.74/13,614.44
  6. Step 6: Final answer
    x = 7,269.64

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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.