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Finding the Fourth Proportional to 27,109.49, 40,665.44 and 11,911.05

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Solution

The fourth proportional to 27,109.49, 40,665.44 and 11,911.05 is: 17,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.49 : 40,665.44 = 11,911.05 : x
  2. Step 2: Convert to fraction form
    27,109.49/40,665.44 = 11,911.05/x
  3. Step 3: Cross multiply
    27,109.49x = 40,665.44 × 11,911.05
  4. Step 4: Simplify right side
    27,109.49x = 484,368,118.89
  5. Step 5: Solve for x
    x = 484,368,118.89/27,109.49
  6. Step 6: Final answer
    x = 17,867.11

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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.