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Finding the Fourth Proportional to 16,408.85, 24,603.21 and 7,635.33

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Solution

The fourth proportional to 16,408.85, 24,603.21 and 7,635.33 is: 11,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.85 : 24,603.21 = 7,635.33 : x
  2. Step 2: Convert to fraction form
    16,408.85/24,603.21 = 7,635.33/x
  3. Step 3: Cross multiply
    16,408.85x = 24,603.21 × 7,635.33
  4. Step 4: Simplify right side
    16,408.85x = 187,853,627.41
  5. Step 5: Solve for x
    x = 187,853,627.41/16,408.85
  6. Step 6: Final answer
    x = 11,448.32

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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.