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Finding the Fourth Proportional to 16,805.68, 25,202.64 and 4,956.31

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Solution

The fourth proportional to 16,805.68, 25,202.64 and 4,956.31 is: 7,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.68 : 25,202.64 = 4,956.31 : x
  2. Step 2: Convert to fraction form
    16,805.68/25,202.64 = 4,956.31/x
  3. Step 3: Cross multiply
    16,805.68x = 25,202.64 × 4,956.31
  4. Step 4: Simplify right side
    16,805.68x = 124,912,033.65
  5. Step 5: Solve for x
    x = 124,912,033.65/16,805.68
  6. Step 6: Final answer
    x = 7,432.73

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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.