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Finding the Fourth Proportional to 13,736.19, 20,604.24 and 4,969.02

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Solution

The fourth proportional to 13,736.19, 20,604.24 and 4,969.02 is: 7,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.19 : 20,604.24 = 4,969.02 : x
  2. Step 2: Convert to fraction form
    13,736.19/20,604.24 = 4,969.02/x
  3. Step 3: Cross multiply
    13,736.19x = 20,604.24 × 4,969.02
  4. Step 4: Simplify right side
    13,736.19x = 102,382,880.64
  5. Step 5: Solve for x
    x = 102,382,880.64/13,736.19
  6. Step 6: Final answer
    x = 7,453.51

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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.