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Finding the Fourth Proportional to 20,208.64, 27,894.22 and 16,428.78

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Solution

The fourth proportional to 20,208.64, 27,894.22 and 16,428.78 is: 22,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.64 : 27,894.22 = 16,428.78 : x
  2. Step 2: Convert to fraction form
    20,208.64/27,894.22 = 16,428.78/x
  3. Step 3: Cross multiply
    20,208.64x = 27,894.22 × 16,428.78
  4. Step 4: Simplify right side
    20,208.64x = 458,268,003.65
  5. Step 5: Solve for x
    x = 458,268,003.65/20,208.64
  6. Step 6: Final answer
    x = 22,676.84

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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.