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Finding the Fourth Proportional to 16,807.80, 25,205.83 and 4,958.43

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Solution

The fourth proportional to 16,807.80, 25,205.83 and 4,958.43 is: 7,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.80 : 25,205.83 = 4,958.43 : x
  2. Step 2: Convert to fraction form
    16,807.80/25,205.83 = 4,958.43/x
  3. Step 3: Cross multiply
    16,807.80x = 25,205.83 × 4,958.43
  4. Step 4: Simplify right side
    16,807.80x = 124,981,343.65
  5. Step 5: Solve for x
    x = 124,981,343.65/16,807.80
  6. Step 6: Final answer
    x = 7,435.91

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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.