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Finding the Fourth Proportional to 16,651.22, 24,977.23 and 7,887.02

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Solution

The fourth proportional to 16,651.22, 24,977.23 and 7,887.02 is: 11,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.22 : 24,977.23 = 7,887.02 : x
  2. Step 2: Convert to fraction form
    16,651.22/24,977.23 = 7,887.02/x
  3. Step 3: Cross multiply
    16,651.22x = 24,977.23 × 7,887.02
  4. Step 4: Simplify right side
    16,651.22x = 196,995,767.95
  5. Step 5: Solve for x
    x = 196,995,767.95/16,651.22
  6. Step 6: Final answer
    x = 11,830.71

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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.