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Finding the Fourth Proportional to 18,414.90, 27,623.88 and 6,564.09

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Solution

The fourth proportional to 18,414.90, 27,623.88 and 6,564.09 is: 9,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.90 : 27,623.88 = 6,564.09 : x
  2. Step 2: Convert to fraction form
    18,414.90/27,623.88 = 6,564.09/x
  3. Step 3: Cross multiply
    18,414.90x = 27,623.88 × 6,564.09
  4. Step 4: Simplify right side
    18,414.90x = 181,325,634.47
  5. Step 5: Solve for x
    x = 181,325,634.47/18,414.90
  6. Step 6: Final answer
    x = 9,846.68

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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.