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Finding the Fourth Proportional to 16,245.74, 24,359.49 and 7,908

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Solution

The fourth proportional to 16,245.74, 24,359.49 and 7,908 is: 11,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.74 : 24,359.49 = 7,908 : x
  2. Step 2: Convert to fraction form
    16,245.74/24,359.49 = 7,908/x
  3. Step 3: Cross multiply
    16,245.74x = 24,359.49 × 7,908
  4. Step 4: Simplify right side
    16,245.74x = 192,634,846.92
  5. Step 5: Solve for x
    x = 192,634,846.92/16,245.74
  6. Step 6: Final answer
    x = 11,857.56

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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.