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Finding the Fourth Proportional to 13,507.36, 20,194.50 and 11,450.40

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Solution

The fourth proportional to 13,507.36, 20,194.50 and 11,450.40 is: 17,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.36 : 20,194.50 = 11,450.40 : x
  2. Step 2: Convert to fraction form
    13,507.36/20,194.50 = 11,450.40/x
  3. Step 3: Cross multiply
    13,507.36x = 20,194.50 × 11,450.40
  4. Step 4: Simplify right side
    13,507.36x = 231,235,102.80
  5. Step 5: Solve for x
    x = 231,235,102.80/13,507.36
  6. Step 6: Final answer
    x = 17,119.19

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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.