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Finding the Fourth Proportional to 13,616.88, 20,414.16 and 4,846.80

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Solution

The fourth proportional to 13,616.88, 20,414.16 and 4,846.80 is: 7,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.88 : 20,414.16 = 4,846.80 : x
  2. Step 2: Convert to fraction form
    13,616.88/20,414.16 = 4,846.80/x
  3. Step 3: Cross multiply
    13,616.88x = 20,414.16 × 4,846.80
  4. Step 4: Simplify right side
    13,616.88x = 98,943,350.69
  5. Step 5: Solve for x
    x = 98,943,350.69/13,616.88
  6. Step 6: Final answer
    x = 7,266.23

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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.