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Finding the Fourth Proportional to 15,181.92, 20,950.47 and 8,467.83

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Solution

The fourth proportional to 15,181.92, 20,950.47 and 8,467.83 is: 11,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,181.92 : 20,950.47 = 8,467.83 : x
  2. Step 2: Convert to fraction form
    15,181.92/20,950.47 = 8,467.83/x
  3. Step 3: Cross multiply
    15,181.92x = 20,950.47 × 8,467.83
  4. Step 4: Simplify right side
    15,181.92x = 177,405,018.38
  5. Step 5: Solve for x
    x = 177,405,018.38/15,181.92
  6. Step 6: Final answer
    x = 11,685.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.