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Finding the Fourth Proportional to 16,747, 25,120.50 and 6,891.64

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Solution

The fourth proportional to 16,747, 25,120.50 and 6,891.64 is: 10,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,747 : 25,120.50 = 6,891.64 : x
  2. Step 2: Convert to fraction form
    16,747/25,120.50 = 6,891.64/x
  3. Step 3: Cross multiply
    16,747x = 25,120.50 × 6,891.64
  4. Step 4: Simplify right side
    16,747x = 173,121,442.62
  5. Step 5: Solve for x
    x = 173,121,442.62/16,747
  6. Step 6: Final answer
    x = 10,337.46

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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.