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Finding the Fourth Proportional to 15,770.63, 23,671.60 and 8,375.15

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Solution

The fourth proportional to 15,770.63, 23,671.60 and 8,375.15 is: 12,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.63 : 23,671.60 = 8,375.15 : x
  2. Step 2: Convert to fraction form
    15,770.63/23,671.60 = 8,375.15/x
  3. Step 3: Cross multiply
    15,770.63x = 23,671.60 × 8,375.15
  4. Step 4: Simplify right side
    15,770.63x = 198,253,238.98
  5. Step 5: Solve for x
    x = 198,253,238.98/15,770.63
  6. Step 6: Final answer
    x = 12,571.04

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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.