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Finding the Fourth Proportional to 13,846.49, 20,788.85 and 7,616.26

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Solution

The fourth proportional to 13,846.49, 20,788.85 and 7,616.26 is: 11,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.49 : 20,788.85 = 7,616.26 : x
  2. Step 2: Convert to fraction form
    13,846.49/20,788.85 = 7,616.26/x
  3. Step 3: Cross multiply
    13,846.49x = 20,788.85 × 7,616.26
  4. Step 4: Simplify right side
    13,846.49x = 158,333,286.70
  5. Step 5: Solve for x
    x = 158,333,286.70/13,846.49
  6. Step 6: Final answer
    x = 11,434.90

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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.