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Finding the Fourth Proportional to 27,016.54, 40,542.91 and 9,486.42

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Solution

The fourth proportional to 27,016.54, 40,542.91 and 9,486.42 is: 14,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.54 : 40,542.91 = 9,486.42 : x
  2. Step 2: Convert to fraction form
    27,016.54/40,542.91 = 9,486.42/x
  3. Step 3: Cross multiply
    27,016.54x = 40,542.91 × 9,486.42
  4. Step 4: Simplify right side
    27,016.54x = 384,607,072.28
  5. Step 5: Solve for x
    x = 384,607,072.28/27,016.54
  6. Step 6: Final answer
    x = 14,235.99

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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.