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Finding the Fourth Proportional to 20,546.33, 28,354.94 and 11,593.64

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Solution

The fourth proportional to 20,546.33, 28,354.94 and 11,593.64 is: 15,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.33 : 28,354.94 = 11,593.64 : x
  2. Step 2: Convert to fraction form
    20,546.33/28,354.94 = 11,593.64/x
  3. Step 3: Cross multiply
    20,546.33x = 28,354.94 × 11,593.64
  4. Step 4: Simplify right side
    20,546.33x = 328,736,766.84
  5. Step 5: Solve for x
    x = 328,736,766.84/20,546.33
  6. Step 6: Final answer
    x = 15,999.78

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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.