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Finding the Fourth Proportional to 21,147.50, 31,717.80 and 7,996.74

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Solution

The fourth proportional to 21,147.50, 31,717.80 and 7,996.74 is: 11,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.50 : 31,717.80 = 7,996.74 : x
  2. Step 2: Convert to fraction form
    21,147.50/31,717.80 = 7,996.74/x
  3. Step 3: Cross multiply
    21,147.50x = 31,717.80 × 7,996.74
  4. Step 4: Simplify right side
    21,147.50x = 253,638,999.97
  5. Step 5: Solve for x
    x = 253,638,999.97/21,147.50
  6. Step 6: Final answer
    x = 11,993.81

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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.