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Finding the Fourth Proportional to 21,321.27, 31,984.82 and 7,277.52

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Solution

The fourth proportional to 21,321.27, 31,984.82 and 7,277.52 is: 10,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.27 : 31,984.82 = 7,277.52 : x
  2. Step 2: Convert to fraction form
    21,321.27/31,984.82 = 7,277.52/x
  3. Step 3: Cross multiply
    21,321.27x = 31,984.82 × 7,277.52
  4. Step 4: Simplify right side
    21,321.27x = 232,770,167.25
  5. Step 5: Solve for x
    x = 232,770,167.25/21,321.27
  6. Step 6: Final answer
    x = 10,917.27

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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.