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Finding the Fourth Proportional to 25,753.44, 38,591.28 and 16,500

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Solution

The fourth proportional to 25,753.44, 38,591.28 and 16,500 is: 24,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.44 : 38,591.28 = 16,500 : x
  2. Step 2: Convert to fraction form
    25,753.44/38,591.28 = 16,500/x
  3. Step 3: Cross multiply
    25,753.44x = 38,591.28 × 16,500
  4. Step 4: Simplify right side
    25,753.44x = 636,756,120
  5. Step 5: Solve for x
    x = 636,756,120/25,753.44
  6. Step 6: Final answer
    x = 24,725.09

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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.