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Finding the Fourth Proportional to 16,344, 24,523.20 and 5,400

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Solution

The fourth proportional to 16,344, 24,523.20 and 5,400 is: 8,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 24,523.20 = 5,400 : x
  2. Step 2: Convert to fraction form
    16,344/24,523.20 = 5,400/x
  3. Step 3: Cross multiply
    16,344x = 24,523.20 × 5,400
  4. Step 4: Simplify right side
    16,344x = 132,425,280
  5. Step 5: Solve for x
    x = 132,425,280/16,344
  6. Step 6: Final answer
    x = 8,102.38

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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.