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Finding the Fourth Proportional to 21,308.57, 31,963.13 and 8,161.73

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Solution

The fourth proportional to 21,308.57, 31,963.13 and 8,161.73 is: 12,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.57 : 31,963.13 = 8,161.73 : x
  2. Step 2: Convert to fraction form
    21,308.57/31,963.13 = 8,161.73/x
  3. Step 3: Cross multiply
    21,308.57x = 31,963.13 × 8,161.73
  4. Step 4: Simplify right side
    21,308.57x = 260,874,396.21
  5. Step 5: Solve for x
    x = 260,874,396.21/21,308.57
  6. Step 6: Final answer
    x = 12,242.70

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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.