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Finding the Fourth Proportional to 19,922.87, 27,493.64 and 11,965.23

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Solution

The fourth proportional to 19,922.87, 27,493.64 and 11,965.23 is: 16,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.87 : 27,493.64 = 11,965.23 : x
  2. Step 2: Convert to fraction form
    19,922.87/27,493.64 = 11,965.23/x
  3. Step 3: Cross multiply
    19,922.87x = 27,493.64 × 11,965.23
  4. Step 4: Simplify right side
    19,922.87x = 328,967,756.05
  5. Step 5: Solve for x
    x = 328,967,756.05/19,922.87
  6. Step 6: Final answer
    x = 16,512.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.