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Finding the Fourth Proportional to 16,642.44, 24,944.94 and 8,309.88

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Solution

The fourth proportional to 16,642.44, 24,944.94 and 8,309.88 is: 12,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.44 : 24,944.94 = 8,309.88 : x
  2. Step 2: Convert to fraction form
    16,642.44/24,944.94 = 8,309.88/x
  3. Step 3: Cross multiply
    16,642.44x = 24,944.94 × 8,309.88
  4. Step 4: Simplify right side
    16,642.44x = 207,289,458.01
  5. Step 5: Solve for x
    x = 207,289,458.01/16,642.44
  6. Step 6: Final answer
    x = 12,455.47

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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.