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Finding the Fourth Proportional to 16,474.50, 24,709.13 and 5,381.10

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Solution

The fourth proportional to 16,474.50, 24,709.13 and 5,381.10 is: 8,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.50 : 24,709.13 = 5,381.10 : x
  2. Step 2: Convert to fraction form
    16,474.50/24,709.13 = 5,381.10/x
  3. Step 3: Cross multiply
    16,474.50x = 24,709.13 × 5,381.10
  4. Step 4: Simplify right side
    16,474.50x = 132,962,299.44
  5. Step 5: Solve for x
    x = 132,962,299.44/16,474.50
  6. Step 6: Final answer
    x = 8,070.79

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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.