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Finding the Fourth Proportional to 12,872.50, 19,310.28 and 4,550.80

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Solution

The fourth proportional to 12,872.50, 19,310.28 and 4,550.80 is: 6,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.50 : 19,310.28 = 4,550.80 : x
  2. Step 2: Convert to fraction form
    12,872.50/19,310.28 = 4,550.80/x
  3. Step 3: Cross multiply
    12,872.50x = 19,310.28 × 4,550.80
  4. Step 4: Simplify right side
    12,872.50x = 87,877,222.22
  5. Step 5: Solve for x
    x = 87,877,222.22/12,872.50
  6. Step 6: Final answer
    x = 6,826.74

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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.