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Finding the Fourth Proportional to 21,270.75, 31,902.63 and 7,940.24

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Solution

The fourth proportional to 21,270.75, 31,902.63 and 7,940.24 is: 11,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,270.75 : 31,902.63 = 7,940.24 : x
  2. Step 2: Convert to fraction form
    21,270.75/31,902.63 = 7,940.24/x
  3. Step 3: Cross multiply
    21,270.75x = 31,902.63 × 7,940.24
  4. Step 4: Simplify right side
    21,270.75x = 253,314,648.63
  5. Step 5: Solve for x
    x = 253,314,648.63/21,270.75
  6. Step 6: Final answer
    x = 11,909.06

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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.