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Finding the Fourth Proportional to 12,408.90, 18,611.55 and 3,642.90

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Solution

The fourth proportional to 12,408.90, 18,611.55 and 3,642.90 is: 5,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.90 : 18,611.55 = 3,642.90 : x
  2. Step 2: Convert to fraction form
    12,408.90/18,611.55 = 3,642.90/x
  3. Step 3: Cross multiply
    12,408.90x = 18,611.55 × 3,642.90
  4. Step 4: Simplify right side
    12,408.90x = 67,800,015.50
  5. Step 5: Solve for x
    x = 67,800,015.50/12,408.90
  6. Step 6: Final answer
    x = 5,463.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.