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Finding the Fourth Proportional to 27,617.83, 38,085.25 and 17,005.40

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Solution

The fourth proportional to 27,617.83, 38,085.25 and 17,005.40 is: 23,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.83 : 38,085.25 = 17,005.40 : x
  2. Step 2: Convert to fraction form
    27,617.83/38,085.25 = 17,005.40/x
  3. Step 3: Cross multiply
    27,617.83x = 38,085.25 × 17,005.40
  4. Step 4: Simplify right side
    27,617.83x = 647,654,910.35
  5. Step 5: Solve for x
    x = 647,654,910.35/27,617.83
  6. Step 6: Final answer
    x = 23,450.61

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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.