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Finding the Fourth Proportional to 20,189.84, 27,863.16 and 12,234.08

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Solution

The fourth proportional to 20,189.84, 27,863.16 and 12,234.08 is: 16,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.84 : 27,863.16 = 12,234.08 : x
  2. Step 2: Convert to fraction form
    20,189.84/27,863.16 = 12,234.08/x
  3. Step 3: Cross multiply
    20,189.84x = 27,863.16 × 12,234.08
  4. Step 4: Simplify right side
    20,189.84x = 340,880,128.49
  5. Step 5: Solve for x
    x = 340,880,128.49/20,189.84
  6. Step 6: Final answer
    x = 16,883.75

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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.