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Finding the Fourth Proportional to 27,311.49, 40,967.55 and 11,519.19

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Solution

The fourth proportional to 27,311.49, 40,967.55 and 11,519.19 is: 17,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.49 : 40,967.55 = 11,519.19 : x
  2. Step 2: Convert to fraction form
    27,311.49/40,967.55 = 11,519.19/x
  3. Step 3: Cross multiply
    27,311.49x = 40,967.55 × 11,519.19
  4. Step 4: Simplify right side
    27,311.49x = 471,912,992.28
  5. Step 5: Solve for x
    x = 471,912,992.28/27,311.49
  6. Step 6: Final answer
    x = 17,278.92

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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.