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Finding the Fourth Proportional to 16,096.28, 24,134.16 and 9,524.48

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Solution

The fourth proportional to 16,096.28, 24,134.16 and 9,524.48 is: 14,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.28 : 24,134.16 = 9,524.48 : x
  2. Step 2: Convert to fraction form
    16,096.28/24,134.16 = 9,524.48/x
  3. Step 3: Cross multiply
    16,096.28x = 24,134.16 × 9,524.48
  4. Step 4: Simplify right side
    16,096.28x = 229,865,324.24
  5. Step 5: Solve for x
    x = 229,865,324.24/16,096.28
  6. Step 6: Final answer
    x = 14,280.65

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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.