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Finding the Fourth Proportional to 16,135.66, 24,198.03 and 6,138.03

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Solution

The fourth proportional to 16,135.66, 24,198.03 and 6,138.03 is: 9,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.66 : 24,198.03 = 6,138.03 : x
  2. Step 2: Convert to fraction form
    16,135.66/24,198.03 = 6,138.03/x
  3. Step 3: Cross multiply
    16,135.66x = 24,198.03 × 6,138.03
  4. Step 4: Simplify right side
    16,135.66x = 148,528,372.05
  5. Step 5: Solve for x
    x = 148,528,372.05/16,135.66
  6. Step 6: Final answer
    x = 9,204.98

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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.