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Finding the Fourth Proportional to 13,328.80, 19,993.20 and 3,467.24

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Solution

The fourth proportional to 13,328.80, 19,993.20 and 3,467.24 is: 5,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.80 : 19,993.20 = 3,467.24 : x
  2. Step 2: Convert to fraction form
    13,328.80/19,993.20 = 3,467.24/x
  3. Step 3: Cross multiply
    13,328.80x = 19,993.20 × 3,467.24
  4. Step 4: Simplify right side
    13,328.80x = 69,321,222.77
  5. Step 5: Solve for x
    x = 69,321,222.77/13,328.80
  6. Step 6: Final answer
    x = 5,200.86

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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.