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Finding the Fourth Proportional to 11,822.55, 17,739.49 and 7,919.16

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Solution

The fourth proportional to 11,822.55, 17,739.49 and 7,919.16 is: 11,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.55 : 17,739.49 = 7,919.16 : x
  2. Step 2: Convert to fraction form
    11,822.55/17,739.49 = 7,919.16/x
  3. Step 3: Cross multiply
    11,822.55x = 17,739.49 × 7,919.16
  4. Step 4: Simplify right side
    11,822.55x = 140,481,859.63
  5. Step 5: Solve for x
    x = 140,481,859.63/11,822.55
  6. Step 6: Final answer
    x = 11,882.53

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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.