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Finding the Fourth Proportional to 20,212.40, 27,892.71 and 11,714.31

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Solution

The fourth proportional to 20,212.40, 27,892.71 and 11,714.31 is: 16,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.40 : 27,892.71 = 11,714.31 : x
  2. Step 2: Convert to fraction form
    20,212.40/27,892.71 = 11,714.31/x
  3. Step 3: Cross multiply
    20,212.40x = 27,892.71 × 11,714.31
  4. Step 4: Simplify right side
    20,212.40x = 326,743,851.68
  5. Step 5: Solve for x
    x = 326,743,851.68/20,212.40
  6. Step 6: Final answer
    x = 16,165.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.