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Finding the Fourth Proportional to 24,887.72, 37,321.86 and 11,027

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Solution

The fourth proportional to 24,887.72, 37,321.86 and 11,027 is: 16,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887.72 : 37,321.86 = 11,027 : x
  2. Step 2: Convert to fraction form
    24,887.72/37,321.86 = 11,027/x
  3. Step 3: Cross multiply
    24,887.72x = 37,321.86 × 11,027
  4. Step 4: Simplify right side
    24,887.72x = 411,548,150.22
  5. Step 5: Solve for x
    x = 411,548,150.22/24,887.72
  6. Step 6: Final answer
    x = 16,536.19

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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.