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Finding the Fourth Proportional to 20,876.43, 31,319.76 and 6,837.21

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Solution

The fourth proportional to 20,876.43, 31,319.76 and 6,837.21 is: 10,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.43 : 31,319.76 = 6,837.21 : x
  2. Step 2: Convert to fraction form
    20,876.43/31,319.76 = 6,837.21/x
  3. Step 3: Cross multiply
    20,876.43x = 31,319.76 × 6,837.21
  4. Step 4: Simplify right side
    20,876.43x = 214,139,801.91
  5. Step 5: Solve for x
    x = 214,139,801.91/20,876.43
  6. Step 6: Final answer
    x = 10,257.49

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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.