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Finding the Fourth Proportional to 27,465.89, 41,198.90 and 7,744.55

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Solution

The fourth proportional to 27,465.89, 41,198.90 and 7,744.55 is: 11,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.89 : 41,198.90 = 7,744.55 : x
  2. Step 2: Convert to fraction form
    27,465.89/41,198.90 = 7,744.55/x
  3. Step 3: Cross multiply
    27,465.89x = 41,198.90 × 7,744.55
  4. Step 4: Simplify right side
    27,465.89x = 319,066,696.28
  5. Step 5: Solve for x
    x = 319,066,696.28/27,465.89
  6. Step 6: Final answer
    x = 11,616.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.