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Finding the Fourth Proportional to 12,453, 18,682.44 and 3,687.60

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Solution

The fourth proportional to 12,453, 18,682.44 and 3,687.60 is: 5,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453 : 18,682.44 = 3,687.60 : x
  2. Step 2: Convert to fraction form
    12,453/18,682.44 = 3,687.60/x
  3. Step 3: Cross multiply
    12,453x = 18,682.44 × 3,687.60
  4. Step 4: Simplify right side
    12,453x = 68,893,365.74
  5. Step 5: Solve for x
    x = 68,893,365.74/12,453
  6. Step 6: Final answer
    x = 5,532.27

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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.