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Finding the Fourth Proportional to 21,899.68, 32,874.09 and 8,761.21

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Solution

The fourth proportional to 21,899.68, 32,874.09 and 8,761.21 is: 13,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.68 : 32,874.09 = 8,761.21 : x
  2. Step 2: Convert to fraction form
    21,899.68/32,874.09 = 8,761.21/x
  3. Step 3: Cross multiply
    21,899.68x = 32,874.09 × 8,761.21
  4. Step 4: Simplify right side
    21,899.68x = 288,016,806.05
  5. Step 5: Solve for x
    x = 288,016,806.05/21,899.68
  6. Step 6: Final answer
    x = 13,151.64

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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.