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Finding the Fourth Proportional to 16,038, 24,069.96 and 8,249.04

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Solution

The fourth proportional to 16,038, 24,069.96 and 8,249.04 is: 12,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 24,069.96 = 8,249.04 : x
  2. Step 2: Convert to fraction form
    16,038/24,069.96 = 8,249.04/x
  3. Step 3: Cross multiply
    16,038x = 24,069.96 × 8,249.04
  4. Step 4: Simplify right side
    16,038x = 198,554,062.84
  5. Step 5: Solve for x
    x = 198,554,062.84/16,038
  6. Step 6: Final answer
    x = 12,380.23

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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.