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Finding the Fourth Proportional to 18,427.36, 27,633.84 and 8,032

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Solution

The fourth proportional to 18,427.36, 27,633.84 and 8,032 is: 12,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427.36 : 27,633.84 = 8,032 : x
  2. Step 2: Convert to fraction form
    18,427.36/27,633.84 = 8,032/x
  3. Step 3: Cross multiply
    18,427.36x = 27,633.84 × 8,032
  4. Step 4: Simplify right side
    18,427.36x = 221,955,002.88
  5. Step 5: Solve for x
    x = 221,955,002.88/18,427.36
  6. Step 6: Final answer
    x = 12,044.86

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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.