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Finding the Fourth Proportional to 27,404.52, 41,107.93 and 8,684.15

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Solution

The fourth proportional to 27,404.52, 41,107.93 and 8,684.15 is: 13,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404.52 : 41,107.93 = 8,684.15 : x
  2. Step 2: Convert to fraction form
    27,404.52/41,107.93 = 8,684.15/x
  3. Step 3: Cross multiply
    27,404.52x = 41,107.93 × 8,684.15
  4. Step 4: Simplify right side
    27,404.52x = 356,987,203.06
  5. Step 5: Solve for x
    x = 356,987,203.06/27,404.52
  6. Step 6: Final answer
    x = 13,026.58

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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.