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Finding the Fourth Proportional to 13,796.33, 20,696.01 and 5,033.14

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Solution

The fourth proportional to 13,796.33, 20,696.01 and 5,033.14 is: 7,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.33 : 20,696.01 = 5,033.14 : x
  2. Step 2: Convert to fraction form
    13,796.33/20,696.01 = 5,033.14/x
  3. Step 3: Cross multiply
    13,796.33x = 20,696.01 × 5,033.14
  4. Step 4: Simplify right side
    13,796.33x = 104,165,845.16
  5. Step 5: Solve for x
    x = 104,165,845.16/13,796.33
  6. Step 6: Final answer
    x = 7,550.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.