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Finding the Fourth Proportional to 20,811.84, 31,131.36 and 15,843.84

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Solution

The fourth proportional to 20,811.84, 31,131.36 and 15,843.84 is: 23,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.84 : 31,131.36 = 15,843.84 : x
  2. Step 2: Convert to fraction form
    20,811.84/31,131.36 = 15,843.84/x
  3. Step 3: Cross multiply
    20,811.84x = 31,131.36 × 15,843.84
  4. Step 4: Simplify right side
    20,811.84x = 493,240,286.82
  5. Step 5: Solve for x
    x = 493,240,286.82/20,811.84
  6. Step 6: Final answer
    x = 23,699.98

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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.