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Finding the Fourth Proportional to 16,960, 25,443.84 and 6,016

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Solution

The fourth proportional to 16,960, 25,443.84 and 6,016 is: 9,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960 : 25,443.84 = 6,016 : x
  2. Step 2: Convert to fraction form
    16,960/25,443.84 = 6,016/x
  3. Step 3: Cross multiply
    16,960x = 25,443.84 × 6,016
  4. Step 4: Simplify right side
    16,960x = 153,070,141.44
  5. Step 5: Solve for x
    x = 153,070,141.44/16,960
  6. Step 6: Final answer
    x = 9,025.36

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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.