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Finding the Fourth Proportional to 27,597.52, 41,385.82 and 11,801.88

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Solution

The fourth proportional to 27,597.52, 41,385.82 and 11,801.88 is: 17,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.52 : 41,385.82 = 11,801.88 : x
  2. Step 2: Convert to fraction form
    27,597.52/41,385.82 = 11,801.88/x
  3. Step 3: Cross multiply
    27,597.52x = 41,385.82 × 11,801.88
  4. Step 4: Simplify right side
    27,597.52x = 488,430,481.34
  5. Step 5: Solve for x
    x = 488,430,481.34/27,597.52
  6. Step 6: Final answer
    x = 17,698.35

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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.