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Finding the Fourth Proportional to 16,734, 25,086.69 and 6,867.12

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Solution

The fourth proportional to 16,734, 25,086.69 and 6,867.12 is: 10,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,734 : 25,086.69 = 6,867.12 : x
  2. Step 2: Convert to fraction form
    16,734/25,086.69 = 6,867.12/x
  3. Step 3: Cross multiply
    16,734x = 25,086.69 × 6,867.12
  4. Step 4: Simplify right side
    16,734x = 172,273,310.63
  5. Step 5: Solve for x
    x = 172,273,310.63/16,734
  6. Step 6: Final answer
    x = 10,294.81

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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.