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Finding the Fourth Proportional to 28,286.42, 42,431.74 and 8,566.56

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Solution

The fourth proportional to 28,286.42, 42,431.74 and 8,566.56 is: 12,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.42 : 42,431.74 = 8,566.56 : x
  2. Step 2: Convert to fraction form
    28,286.42/42,431.74 = 8,566.56/x
  3. Step 3: Cross multiply
    28,286.42x = 42,431.74 × 8,566.56
  4. Step 4: Simplify right side
    28,286.42x = 363,494,046.61
  5. Step 5: Solve for x
    x = 363,494,046.61/28,286.42
  6. Step 6: Final answer
    x = 12,850.48

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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.