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Finding the Fourth Proportional to 12,473.14, 18,704.18 and 4,676.46

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Solution

The fourth proportional to 12,473.14, 18,704.18 and 4,676.46 is: 7,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.14 : 18,704.18 = 4,676.46 : x
  2. Step 2: Convert to fraction form
    12,473.14/18,704.18 = 4,676.46/x
  3. Step 3: Cross multiply
    12,473.14x = 18,704.18 × 4,676.46
  4. Step 4: Simplify right side
    12,473.14x = 87,469,349.60
  5. Step 5: Solve for x
    x = 87,469,349.60/12,473.14
  6. Step 6: Final answer
    x = 7,012.62

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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.