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Finding the Fourth Proportional to 16,489.92, 24,738.34 and 5,395.74

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Solution

The fourth proportional to 16,489.92, 24,738.34 and 5,395.74 is: 8,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.92 : 24,738.34 = 5,395.74 : x
  2. Step 2: Convert to fraction form
    16,489.92/24,738.34 = 5,395.74/x
  3. Step 3: Cross multiply
    16,489.92x = 24,738.34 × 5,395.74
  4. Step 4: Simplify right side
    16,489.92x = 133,481,650.67
  5. Step 5: Solve for x
    x = 133,481,650.67/16,489.92
  6. Step 6: Final answer
    x = 8,094.74

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1.5x scale

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.