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Finding the Fourth Proportional to 27,354.78, 41,028.93 and 8,634.06

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Solution

The fourth proportional to 27,354.78, 41,028.93 and 8,634.06 is: 12,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354.78 : 41,028.93 = 8,634.06 : x
  2. Step 2: Convert to fraction form
    27,354.78/41,028.93 = 8,634.06/x
  3. Step 3: Cross multiply
    27,354.78x = 41,028.93 × 8,634.06
  4. Step 4: Simplify right side
    27,354.78x = 354,246,243.36
  5. Step 5: Solve for x
    x = 354,246,243.36/27,354.78
  6. Step 6: Final answer
    x = 12,950.07

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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.