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Finding the Fourth Proportional to 16,850.32, 25,263 and 8,076.88

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Solution

The fourth proportional to 16,850.32, 25,263 and 8,076.88 is: 12,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.32 : 25,263 = 8,076.88 : x
  2. Step 2: Convert to fraction form
    16,850.32/25,263 = 8,076.88/x
  3. Step 3: Cross multiply
    16,850.32x = 25,263 × 8,076.88
  4. Step 4: Simplify right side
    16,850.32x = 204,046,219.44
  5. Step 5: Solve for x
    x = 204,046,219.44/16,850.32
  6. Step 6: Final answer
    x = 12,109.34

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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.