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Finding the Fourth Proportional to 13,163.77, 19,745.65 and 5,269.83

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Solution

The fourth proportional to 13,163.77, 19,745.65 and 5,269.83 is: 7,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.77 : 19,745.65 = 5,269.83 : x
  2. Step 2: Convert to fraction form
    13,163.77/19,745.65 = 5,269.83/x
  3. Step 3: Cross multiply
    13,163.77x = 19,745.65 × 5,269.83
  4. Step 4: Simplify right side
    13,163.77x = 104,056,303.06
  5. Step 5: Solve for x
    x = 104,056,303.06/13,163.77
  6. Step 6: Final answer
    x = 7,904.75

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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.