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Finding the Fourth Proportional to 13,928.95, 20,896.06 and 5,163.54

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Solution

The fourth proportional to 13,928.95, 20,896.06 and 5,163.54 is: 7,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.95 : 20,896.06 = 5,163.54 : x
  2. Step 2: Convert to fraction form
    13,928.95/20,896.06 = 5,163.54/x
  3. Step 3: Cross multiply
    13,928.95x = 20,896.06 × 5,163.54
  4. Step 4: Simplify right side
    13,928.95x = 107,897,641.65
  5. Step 5: Solve for x
    x = 107,897,641.65/13,928.95
  6. Step 6: Final answer
    x = 7,746.29

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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.