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Finding the Fourth Proportional to 20,207.64, 27,892.84 and 16,427.78

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Solution

The fourth proportional to 20,207.64, 27,892.84 and 16,427.78 is: 22,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.64 : 27,892.84 = 16,427.78 : x
  2. Step 2: Convert to fraction form
    20,207.64/27,892.84 = 16,427.78/x
  3. Step 3: Cross multiply
    20,207.64x = 27,892.84 × 16,427.78
  4. Step 4: Simplify right side
    20,207.64x = 458,217,439.10
  5. Step 5: Solve for x
    x = 458,217,439.10/20,207.64
  6. Step 6: Final answer
    x = 22,675.46

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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.