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Finding the Fourth Proportional to 27,524.72, 41,287.08 and 11,942

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Solution

The fourth proportional to 27,524.72, 41,287.08 and 11,942 is: 17,913

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.72 : 41,287.08 = 11,942 : x
  2. Step 2: Convert to fraction form
    27,524.72/41,287.08 = 11,942/x
  3. Step 3: Cross multiply
    27,524.72x = 41,287.08 × 11,942
  4. Step 4: Simplify right side
    27,524.72x = 493,050,309.36
  5. Step 5: Solve for x
    x = 493,050,309.36/27,524.72
  6. Step 6: Final answer
    x = 17,913

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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.