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Finding the Fourth Proportional to 12,408.85, 18,586.54 and 5,825.17

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Solution

The fourth proportional to 12,408.85, 18,586.54 and 5,825.17 is: 8,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.85 : 18,586.54 = 5,825.17 : x
  2. Step 2: Convert to fraction form
    12,408.85/18,586.54 = 5,825.17/x
  3. Step 3: Cross multiply
    12,408.85x = 18,586.54 × 5,825.17
  4. Step 4: Simplify right side
    12,408.85x = 108,269,755.21
  5. Step 5: Solve for x
    x = 108,269,755.21/12,408.85
  6. Step 6: Final answer
    x = 8,725.20

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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.