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Finding the Fourth Proportional to 12,385.72, 18,571.66 and 4,063.50

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Solution

The fourth proportional to 12,385.72, 18,571.66 and 4,063.50 is: 6,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.72 : 18,571.66 = 4,063.50 : x
  2. Step 2: Convert to fraction form
    12,385.72/18,571.66 = 4,063.50/x
  3. Step 3: Cross multiply
    12,385.72x = 18,571.66 × 4,063.50
  4. Step 4: Simplify right side
    12,385.72x = 75,465,940.41
  5. Step 5: Solve for x
    x = 75,465,940.41/12,385.72
  6. Step 6: Final answer
    x = 6,092.98

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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.