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Finding the Fourth Proportional to 21,843.63, 32,765.44 and 5,427.63

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Solution

The fourth proportional to 21,843.63, 32,765.44 and 5,427.63 is: 8,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.63 : 32,765.44 = 5,427.63 : x
  2. Step 2: Convert to fraction form
    21,843.63/32,765.44 = 5,427.63/x
  3. Step 3: Cross multiply
    21,843.63x = 32,765.44 × 5,427.63
  4. Step 4: Simplify right side
    21,843.63x = 177,838,685.11
  5. Step 5: Solve for x
    x = 177,838,685.11/21,843.63
  6. Step 6: Final answer
    x = 8,141.44

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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.