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Finding the Fourth Proportional to 27,668.25, 38,182.32 and 15,093

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Solution

The fourth proportional to 27,668.25, 38,182.32 and 15,093 is: 20,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.25 : 38,182.32 = 15,093 : x
  2. Step 2: Convert to fraction form
    27,668.25/38,182.32 = 15,093/x
  3. Step 3: Cross multiply
    27,668.25x = 38,182.32 × 15,093
  4. Step 4: Simplify right side
    27,668.25x = 576,285,755.76
  5. Step 5: Solve for x
    x = 576,285,755.76/27,668.25
  6. Step 6: Final answer
    x = 20,828.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.