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Finding the Fourth Proportional to 27,369.78, 41,029.98 and 9,835.51

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Solution

The fourth proportional to 27,369.78, 41,029.98 and 9,835.51 is: 14,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369.78 : 41,029.98 = 9,835.51 : x
  2. Step 2: Convert to fraction form
    27,369.78/41,029.98 = 9,835.51/x
  3. Step 3: Cross multiply
    27,369.78x = 41,029.98 × 9,835.51
  4. Step 4: Simplify right side
    27,369.78x = 403,550,716.06
  5. Step 5: Solve for x
    x = 403,550,716.06/27,369.78
  6. Step 6: Final answer
    x = 14,744.39

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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.