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Finding the Fourth Proportional to 21,638.73, 32,462.10 and 6,851.37

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Solution

The fourth proportional to 21,638.73, 32,462.10 and 6,851.37 is: 10,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.73 : 32,462.10 = 6,851.37 : x
  2. Step 2: Convert to fraction form
    21,638.73/32,462.10 = 6,851.37/x
  3. Step 3: Cross multiply
    21,638.73x = 32,462.10 × 6,851.37
  4. Step 4: Simplify right side
    21,638.73x = 222,409,858.08
  5. Step 5: Solve for x
    x = 222,409,858.08/21,638.73
  6. Step 6: Final answer
    x = 10,278.32

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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.