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Finding the Fourth Proportional to 27,212.87, 40,835.07 and 11,416.50

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Solution

The fourth proportional to 27,212.87, 40,835.07 and 11,416.50 is: 17,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.87 : 40,835.07 = 11,416.50 : x
  2. Step 2: Convert to fraction form
    27,212.87/40,835.07 = 11,416.50/x
  3. Step 3: Cross multiply
    27,212.87x = 40,835.07 × 11,416.50
  4. Step 4: Simplify right side
    27,212.87x = 466,193,576.66
  5. Step 5: Solve for x
    x = 466,193,576.66/27,212.87
  6. Step 6: Final answer
    x = 17,131.36

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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.