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Finding the Fourth Proportional to 28,287.69, 42,431.64 and 8,566.41

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Solution

The fourth proportional to 28,287.69, 42,431.64 and 8,566.41 is: 12,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287.69 : 42,431.64 = 8,566.41 : x
  2. Step 2: Convert to fraction form
    28,287.69/42,431.64 = 8,566.41/x
  3. Step 3: Cross multiply
    28,287.69x = 42,431.64 × 8,566.41
  4. Step 4: Simplify right side
    28,287.69x = 363,486,825.21
  5. Step 5: Solve for x
    x = 363,486,825.21/28,287.69
  6. Step 6: Final answer
    x = 12,849.65

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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.