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Finding the Fourth Proportional to 12,144.48, 18,206.64 and 8,453.90

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Solution

The fourth proportional to 12,144.48, 18,206.64 and 8,453.90 is: 12,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.48 : 18,206.64 = 8,453.90 : x
  2. Step 2: Convert to fraction form
    12,144.48/18,206.64 = 8,453.90/x
  3. Step 3: Cross multiply
    12,144.48x = 18,206.64 × 8,453.90
  4. Step 4: Simplify right side
    12,144.48x = 153,917,022.86
  5. Step 5: Solve for x
    x = 153,917,022.86/12,144.48
  6. Step 6: Final answer
    x = 12,673.83

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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.