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Finding the Fourth Proportional to 16,195.20, 24,274.56 and 12,288

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Solution

The fourth proportional to 16,195.20, 24,274.56 and 12,288 is: 18,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.20 : 24,274.56 = 12,288 : x
  2. Step 2: Convert to fraction form
    16,195.20/24,274.56 = 12,288/x
  3. Step 3: Cross multiply
    16,195.20x = 24,274.56 × 12,288
  4. Step 4: Simplify right side
    16,195.20x = 298,285,793.28
  5. Step 5: Solve for x
    x = 298,285,793.28/16,195.20
  6. Step 6: Final answer
    x = 18,418.16

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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.