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Finding the Fourth Proportional to 27,016.58, 40,524.87 and 11,434.34

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Solution

The fourth proportional to 27,016.58, 40,524.87 and 11,434.34 is: 17,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.58 : 40,524.87 = 11,434.34 : x
  2. Step 2: Convert to fraction form
    27,016.58/40,524.87 = 11,434.34/x
  3. Step 3: Cross multiply
    27,016.58x = 40,524.87 × 11,434.34
  4. Step 4: Simplify right side
    27,016.58x = 463,375,142.04
  5. Step 5: Solve for x
    x = 463,375,142.04/27,016.58
  6. Step 6: Final answer
    x = 17,151.51

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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.