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Finding the Fourth Proportional to 20,914.47, 31,370.13 and 6,874.34

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Solution

The fourth proportional to 20,914.47, 31,370.13 and 6,874.34 is: 10,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.47 : 31,370.13 = 6,874.34 : x
  2. Step 2: Convert to fraction form
    20,914.47/31,370.13 = 6,874.34/x
  3. Step 3: Cross multiply
    20,914.47x = 31,370.13 × 6,874.34
  4. Step 4: Simplify right side
    20,914.47x = 215,648,782.61
  5. Step 5: Solve for x
    x = 215,648,782.61/20,914.47
  6. Step 6: Final answer
    x = 10,310.98

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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.