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Finding the Fourth Proportional to 16,247.82, 24,360.67 and 7,809.87

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Solution

The fourth proportional to 16,247.82, 24,360.67 and 7,809.87 is: 11,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,247.82 : 24,360.67 = 7,809.87 : x
  2. Step 2: Convert to fraction form
    16,247.82/24,360.67 = 7,809.87/x
  3. Step 3: Cross multiply
    16,247.82x = 24,360.67 × 7,809.87
  4. Step 4: Simplify right side
    16,247.82x = 190,253,651.86
  5. Step 5: Solve for x
    x = 190,253,651.86/16,247.82
  6. Step 6: Final answer
    x = 11,709.49

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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.