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Finding the Fourth Proportional to 16,135.84, 24,197.96 and 5,745.52

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Solution

The fourth proportional to 16,135.84, 24,197.96 and 5,745.52 is: 8,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.84 : 24,197.96 = 5,745.52 : x
  2. Step 2: Convert to fraction form
    16,135.84/24,197.96 = 5,745.52/x
  3. Step 3: Cross multiply
    16,135.84x = 24,197.96 × 5,745.52
  4. Step 4: Simplify right side
    16,135.84x = 139,029,863.14
  5. Step 5: Solve for x
    x = 139,029,863.14/16,135.84
  6. Step 6: Final answer
    x = 8,616.21

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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.