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Finding the Fourth Proportional to 24,716.72, 37,049.16 and 11,558

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Solution

The fourth proportional to 24,716.72, 37,049.16 and 11,558 is: 17,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.72 : 37,049.16 = 11,558 : x
  2. Step 2: Convert to fraction form
    24,716.72/37,049.16 = 11,558/x
  3. Step 3: Cross multiply
    24,716.72x = 37,049.16 × 11,558
  4. Step 4: Simplify right side
    24,716.72x = 428,214,191.28
  5. Step 5: Solve for x
    x = 428,214,191.28/24,716.72
  6. Step 6: Final answer
    x = 17,324.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.