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Finding the Fourth Proportional to 20,846.43, 31,275.50 and 8,375.21

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Solution

The fourth proportional to 20,846.43, 31,275.50 and 8,375.21 is: 12,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.43 : 31,275.50 = 8,375.21 : x
  2. Step 2: Convert to fraction form
    20,846.43/31,275.50 = 8,375.21/x
  3. Step 3: Cross multiply
    20,846.43x = 31,275.50 × 8,375.21
  4. Step 4: Simplify right side
    20,846.43x = 261,938,975.31
  5. Step 5: Solve for x
    x = 261,938,975.31/20,846.43
  6. Step 6: Final answer
    x = 12,565.17

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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.