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Finding the Fourth Proportional to 12,464.87, 18,691.83 and 4,668.21

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Solution

The fourth proportional to 12,464.87, 18,691.83 and 4,668.21 is: 7,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.87 : 18,691.83 = 4,668.21 : x
  2. Step 2: Convert to fraction form
    12,464.87/18,691.83 = 4,668.21/x
  3. Step 3: Cross multiply
    12,464.87x = 18,691.83 × 4,668.21
  4. Step 4: Simplify right side
    12,464.87x = 87,257,387.72
  5. Step 5: Solve for x
    x = 87,257,387.72/12,464.87
  6. Step 6: Final answer
    x = 7,000.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.