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Finding the Fourth Proportional to 27,209.88, 40,819.14 and 11,627.64

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Solution

The fourth proportional to 27,209.88, 40,819.14 and 11,627.64 is: 17,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.88 : 40,819.14 = 11,627.64 : x
  2. Step 2: Convert to fraction form
    27,209.88/40,819.14 = 11,627.64/x
  3. Step 3: Cross multiply
    27,209.88x = 40,819.14 × 11,627.64
  4. Step 4: Simplify right side
    27,209.88x = 474,630,265.03
  5. Step 5: Solve for x
    x = 474,630,265.03/27,209.88
  6. Step 6: Final answer
    x = 17,443.31

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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.