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Finding the Fourth Proportional to 13,083.14, 19,629.93 and 4,763.73

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Solution

The fourth proportional to 13,083.14, 19,629.93 and 4,763.73 is: 7,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.14 : 19,629.93 = 4,763.73 : x
  2. Step 2: Convert to fraction form
    13,083.14/19,629.93 = 4,763.73/x
  3. Step 3: Cross multiply
    13,083.14x = 19,629.93 × 4,763.73
  4. Step 4: Simplify right side
    13,083.14x = 93,511,686.44
  5. Step 5: Solve for x
    x = 93,511,686.44/13,083.14
  6. Step 6: Final answer
    x = 7,147.50

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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.