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Finding the Fourth Proportional to 16,742.46, 25,083.09 and 7,841.46

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Solution

The fourth proportional to 16,742.46, 25,083.09 and 7,841.46 is: 11,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.46 : 25,083.09 = 7,841.46 : x
  2. Step 2: Convert to fraction form
    16,742.46/25,083.09 = 7,841.46/x
  3. Step 3: Cross multiply
    16,742.46x = 25,083.09 × 7,841.46
  4. Step 4: Simplify right side
    16,742.46x = 196,688,046.91
  5. Step 5: Solve for x
    x = 196,688,046.91/16,742.46
  6. Step 6: Final answer
    x = 11,747.86

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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.