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Finding the Fourth Proportional to 16,524.28, 24,790.32 and 5,431

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Solution

The fourth proportional to 16,524.28, 24,790.32 and 5,431 is: 8,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.28 : 24,790.32 = 5,431 : x
  2. Step 2: Convert to fraction form
    16,524.28/24,790.32 = 5,431/x
  3. Step 3: Cross multiply
    16,524.28x = 24,790.32 × 5,431
  4. Step 4: Simplify right side
    16,524.28x = 134,636,227.92
  5. Step 5: Solve for x
    x = 134,636,227.92/16,524.28
  6. Step 6: Final answer
    x = 8,147.78

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Why These Related Problems?

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