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Finding the Fourth Proportional to 27,829.95, 41,736.05 and 9,104.95

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Solution

The fourth proportional to 27,829.95, 41,736.05 and 9,104.95 is: 13,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.95 : 41,736.05 = 9,104.95 : x
  2. Step 2: Convert to fraction form
    27,829.95/41,736.05 = 9,104.95/x
  3. Step 3: Cross multiply
    27,829.95x = 41,736.05 × 9,104.95
  4. Step 4: Simplify right side
    27,829.95x = 380,004,498.58
  5. Step 5: Solve for x
    x = 380,004,498.58/27,829.95
  6. Step 6: Final answer
    x = 13,654.52

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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.