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Finding the Fourth Proportional to 20,164.84, 27,820.10 and 12,204.16

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Solution

The fourth proportional to 20,164.84, 27,820.10 and 12,204.16 is: 16,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.84 : 27,820.10 = 12,204.16 : x
  2. Step 2: Convert to fraction form
    20,164.84/27,820.10 = 12,204.16/x
  3. Step 3: Cross multiply
    20,164.84x = 27,820.10 × 12,204.16
  4. Step 4: Simplify right side
    20,164.84x = 339,520,951.62
  5. Step 5: Solve for x
    x = 339,520,951.62/20,164.84
  6. Step 6: Final answer
    x = 16,837.27

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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.