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Finding the Fourth Proportional to 13,447.60, 20,168.52 and 4,208.56

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Solution

The fourth proportional to 13,447.60, 20,168.52 and 4,208.56 is: 6,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.60 : 20,168.52 = 4,208.56 : x
  2. Step 2: Convert to fraction form
    13,447.60/20,168.52 = 4,208.56/x
  3. Step 3: Cross multiply
    13,447.60x = 20,168.52 × 4,208.56
  4. Step 4: Simplify right side
    13,447.60x = 84,880,426.53
  5. Step 5: Solve for x
    x = 84,880,426.53/13,447.60
  6. Step 6: Final answer
    x = 6,311.94

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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.