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Finding the Fourth Proportional to 27,685, 41,544.78 and 11,269

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Solution

The fourth proportional to 27,685, 41,544.78 and 11,269 is: 16,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685 : 41,544.78 = 11,269 : x
  2. Step 2: Convert to fraction form
    27,685/41,544.78 = 11,269/x
  3. Step 3: Cross multiply
    27,685x = 41,544.78 × 11,269
  4. Step 4: Simplify right side
    27,685x = 468,168,125.82
  5. Step 5: Solve for x
    x = 468,168,125.82/27,685
  6. Step 6: Final answer
    x = 16,910.53

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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.