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Finding the Fourth Proportional to 21,782.25, 32,673.78 and 6,200.28

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Solution

The fourth proportional to 21,782.25, 32,673.78 and 6,200.28 is: 9,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.25 : 32,673.78 = 6,200.28 : x
  2. Step 2: Convert to fraction form
    21,782.25/32,673.78 = 6,200.28/x
  3. Step 3: Cross multiply
    21,782.25x = 32,673.78 × 6,200.28
  4. Step 4: Simplify right side
    21,782.25x = 202,586,584.66
  5. Step 5: Solve for x
    x = 202,586,584.66/21,782.25
  6. Step 6: Final answer
    x = 9,300.54

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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.