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Finding the Fourth Proportional to 20,163.84, 27,818.72 and 12,203.16

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Solution

The fourth proportional to 20,163.84, 27,818.72 and 12,203.16 is: 16,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.84 : 27,818.72 = 12,203.16 : x
  2. Step 2: Convert to fraction form
    20,163.84/27,818.72 = 12,203.16/x
  3. Step 3: Cross multiply
    20,163.84x = 27,818.72 × 12,203.16
  4. Step 4: Simplify right side
    20,163.84x = 339,476,291.16
  5. Step 5: Solve for x
    x = 339,476,291.16/20,163.84
  6. Step 6: Final answer
    x = 16,835.89

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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.