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Finding the Fourth Proportional to 16,471.17, 24,709.13 and 5,375.12

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Solution

The fourth proportional to 16,471.17, 24,709.13 and 5,375.12 is: 8,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.17 : 24,709.13 = 5,375.12 : x
  2. Step 2: Convert to fraction form
    16,471.17/24,709.13 = 5,375.12/x
  3. Step 3: Cross multiply
    16,471.17x = 24,709.13 × 5,375.12
  4. Step 4: Simplify right side
    16,471.17x = 132,814,481.08
  5. Step 5: Solve for x
    x = 132,814,481.08/16,471.17
  6. Step 6: Final answer
    x = 8,063.45

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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.