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Finding the Fourth Proportional to 13,033.68, 19,525.32 and 8,105.28

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Solution

The fourth proportional to 13,033.68, 19,525.32 and 8,105.28 is: 12,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.68 : 19,525.32 = 8,105.28 : x
  2. Step 2: Convert to fraction form
    13,033.68/19,525.32 = 8,105.28/x
  3. Step 3: Cross multiply
    13,033.68x = 19,525.32 × 8,105.28
  4. Step 4: Simplify right side
    13,033.68x = 158,258,185.69
  5. Step 5: Solve for x
    x = 158,258,185.69/13,033.68
  6. Step 6: Final answer
    x = 12,142.25

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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.