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Finding the Fourth Proportional to 28,234.20, 42,335.10 and 8,509.80

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Solution

The fourth proportional to 28,234.20, 42,335.10 and 8,509.80 is: 12,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.20 : 42,335.10 = 8,509.80 : x
  2. Step 2: Convert to fraction form
    28,234.20/42,335.10 = 8,509.80/x
  3. Step 3: Cross multiply
    28,234.20x = 42,335.10 × 8,509.80
  4. Step 4: Simplify right side
    28,234.20x = 360,263,233.98
  5. Step 5: Solve for x
    x = 360,263,233.98/28,234.20
  6. Step 6: Final answer
    x = 12,759.82

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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.