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Finding the Fourth Proportional to 13,450.41, 20,178.85 and 4,216.41

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Solution

The fourth proportional to 13,450.41, 20,178.85 and 4,216.41 is: 6,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.41 : 20,178.85 = 4,216.41 : x
  2. Step 2: Convert to fraction form
    13,450.41/20,178.85 = 4,216.41/x
  3. Step 3: Cross multiply
    13,450.41x = 20,178.85 × 4,216.41
  4. Step 4: Simplify right side
    13,450.41x = 85,082,254.48
  5. Step 5: Solve for x
    x = 85,082,254.48/13,450.41
  6. Step 6: Final answer
    x = 6,325.63

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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.