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Finding the Fourth Proportional to 16,546.92, 24,817.76 and 13,753.68

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Solution

The fourth proportional to 16,546.92, 24,817.76 and 13,753.68 is: 20,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.92 : 24,817.76 = 13,753.68 : x
  2. Step 2: Convert to fraction form
    16,546.92/24,817.76 = 13,753.68/x
  3. Step 3: Cross multiply
    16,546.92x = 24,817.76 × 13,753.68
  4. Step 4: Simplify right side
    16,546.92x = 341,335,563.74
  5. Step 5: Solve for x
    x = 341,335,563.74/16,546.92
  6. Step 6: Final answer
    x = 20,628.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.