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Finding the Fourth Proportional to 21,648.93, 32,474.30 and 6,857.52

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Solution

The fourth proportional to 21,648.93, 32,474.30 and 6,857.52 is: 10,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.93 : 32,474.30 = 6,857.52 : x
  2. Step 2: Convert to fraction form
    21,648.93/32,474.30 = 6,857.52/x
  3. Step 3: Cross multiply
    21,648.93x = 32,474.30 × 6,857.52
  4. Step 4: Simplify right side
    21,648.93x = 222,693,044.24
  5. Step 5: Solve for x
    x = 222,693,044.24/21,648.93
  6. Step 6: Final answer
    x = 10,286.56

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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.