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Finding the Fourth Proportional to 20,546.70, 28,353.75 and 11,596.20

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Solution

The fourth proportional to 20,546.70, 28,353.75 and 11,596.20 is: 16,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.70 : 28,353.75 = 11,596.20 : x
  2. Step 2: Convert to fraction form
    20,546.70/28,353.75 = 11,596.20/x
  3. Step 3: Cross multiply
    20,546.70x = 28,353.75 × 11,596.20
  4. Step 4: Simplify right side
    20,546.70x = 328,795,755.75
  5. Step 5: Solve for x
    x = 328,795,755.75/20,546.70
  6. Step 6: Final answer
    x = 16,002.36

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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.