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Finding the Fourth Proportional to 28,287.25, 42,431.22 and 8,566.66

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Solution

The fourth proportional to 28,287.25, 42,431.22 and 8,566.66 is: 12,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287.25 : 42,431.22 = 8,566.66 : x
  2. Step 2: Convert to fraction form
    28,287.25/42,431.22 = 8,566.66/x
  3. Step 3: Cross multiply
    28,287.25x = 42,431.22 × 8,566.66
  4. Step 4: Simplify right side
    28,287.25x = 363,493,864.07
  5. Step 5: Solve for x
    x = 363,493,864.07/28,287.25
  6. Step 6: Final answer
    x = 12,850.10

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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.