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Finding the Fourth Proportional to 20,144.82, 27,803.16 and 16,782.30

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Solution

The fourth proportional to 20,144.82, 27,803.16 and 16,782.30 is: 23,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.82 : 27,803.16 = 16,782.30 : x
  2. Step 2: Convert to fraction form
    20,144.82/27,803.16 = 16,782.30/x
  3. Step 3: Cross multiply
    20,144.82x = 27,803.16 × 16,782.30
  4. Step 4: Simplify right side
    20,144.82x = 466,600,972.07
  5. Step 5: Solve for x
    x = 466,600,972.07/20,144.82
  6. Step 6: Final answer
    x = 23,162.33

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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.