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Finding the Fourth Proportional to 28,234.32, 42,351.66 and 8,512.80

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Solution

The fourth proportional to 28,234.32, 42,351.66 and 8,512.80 is: 12,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.32 : 42,351.66 = 8,512.80 : x
  2. Step 2: Convert to fraction form
    28,234.32/42,351.66 = 8,512.80/x
  3. Step 3: Cross multiply
    28,234.32x = 42,351.66 × 8,512.80
  4. Step 4: Simplify right side
    28,234.32x = 360,531,211.25
  5. Step 5: Solve for x
    x = 360,531,211.25/28,234.32
  6. Step 6: Final answer
    x = 12,769.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.