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Finding the Fourth Proportional to 13,783.93, 20,649.80 and 8,144.73

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Solution

The fourth proportional to 13,783.93, 20,649.80 and 8,144.73 is: 12,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.93 : 20,649.80 = 8,144.73 : x
  2. Step 2: Convert to fraction form
    13,783.93/20,649.80 = 8,144.73/x
  3. Step 3: Cross multiply
    13,783.93x = 20,649.80 × 8,144.73
  4. Step 4: Simplify right side
    13,783.93x = 168,187,045.55
  5. Step 5: Solve for x
    x = 168,187,045.55/13,783.93
  6. Step 6: Final answer
    x = 12,201.68

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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.