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Finding the Fourth Proportional to 21,042.72, 31,568.37 and 8,562.65

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Solution

The fourth proportional to 21,042.72, 31,568.37 and 8,562.65 is: 12,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.72 : 31,568.37 = 8,562.65 : x
  2. Step 2: Convert to fraction form
    21,042.72/31,568.37 = 8,562.65/x
  3. Step 3: Cross multiply
    21,042.72x = 31,568.37 × 8,562.65
  4. Step 4: Simplify right side
    21,042.72x = 270,308,745.54
  5. Step 5: Solve for x
    x = 270,308,745.54/21,042.72
  6. Step 6: Final answer
    x = 12,845.71

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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.