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Finding the Fourth Proportional to 13,450.40, 20,178.96 and 13,227.16

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Solution

The fourth proportional to 13,450.40, 20,178.96 and 13,227.16 is: 19,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.40 : 20,178.96 = 13,227.16 : x
  2. Step 2: Convert to fraction form
    13,450.40/20,178.96 = 13,227.16/x
  3. Step 3: Cross multiply
    13,450.40x = 20,178.96 × 13,227.16
  4. Step 4: Simplify right side
    13,450.40x = 266,910,332.55
  5. Step 5: Solve for x
    x = 266,910,332.55/13,450.40
  6. Step 6: Final answer
    x = 19,844.04

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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.