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Finding the Fourth Proportional to 20,744.86, 31,097.04 and 8,261.14

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Solution

The fourth proportional to 20,744.86, 31,097.04 and 8,261.14 is: 12,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.86 : 31,097.04 = 8,261.14 : x
  2. Step 2: Convert to fraction form
    20,744.86/31,097.04 = 8,261.14/x
  3. Step 3: Cross multiply
    20,744.86x = 31,097.04 × 8,261.14
  4. Step 4: Simplify right side
    20,744.86x = 256,897,001.03
  5. Step 5: Solve for x
    x = 256,897,001.03/20,744.86
  6. Step 6: Final answer
    x = 12,383.65

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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.