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Finding the Fourth Proportional to 16,579.63, 24,836.13 and 8,234.40

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Solution

The fourth proportional to 16,579.63, 24,836.13 and 8,234.40 is: 12,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,579.63 : 24,836.13 = 8,234.40 : x
  2. Step 2: Convert to fraction form
    16,579.63/24,836.13 = 8,234.40/x
  3. Step 3: Cross multiply
    16,579.63x = 24,836.13 × 8,234.40
  4. Step 4: Simplify right side
    16,579.63x = 204,510,628.87
  5. Step 5: Solve for x
    x = 204,510,628.87/16,579.63
  6. Step 6: Final answer
    x = 12,335.06

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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.