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Finding the Fourth Proportional to 13,584.20, 18,745.84 and 7,616.24

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Solution

The fourth proportional to 13,584.20, 18,745.84 and 7,616.24 is: 10,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.20 : 18,745.84 = 7,616.24 : x
  2. Step 2: Convert to fraction form
    13,584.20/18,745.84 = 7,616.24/x
  3. Step 3: Cross multiply
    13,584.20x = 18,745.84 × 7,616.24
  4. Step 4: Simplify right side
    13,584.20x = 142,772,816.44
  5. Step 5: Solve for x
    x = 142,772,816.44/13,584.20
  6. Step 6: Final answer
    x = 10,510.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.