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Finding the Fourth Proportional to 20,864.56, 31,274.97 and 7,708.54

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Solution

The fourth proportional to 20,864.56, 31,274.97 and 7,708.54 is: 11,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.56 : 31,274.97 = 7,708.54 : x
  2. Step 2: Convert to fraction form
    20,864.56/31,274.97 = 7,708.54/x
  3. Step 3: Cross multiply
    20,864.56x = 31,274.97 × 7,708.54
  4. Step 4: Simplify right side
    20,864.56x = 241,084,250.15
  5. Step 5: Solve for x
    x = 241,084,250.15/20,864.56
  6. Step 6: Final answer
    x = 11,554.73

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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.