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Finding the Fourth Proportional to 13,783.43, 20,649.05 and 8,144.23

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Solution

The fourth proportional to 13,783.43, 20,649.05 and 8,144.23 is: 12,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.43 : 20,649.05 = 8,144.23 : x
  2. Step 2: Convert to fraction form
    13,783.43/20,649.05 = 8,144.23/x
  3. Step 3: Cross multiply
    13,783.43x = 20,649.05 × 8,144.23
  4. Step 4: Simplify right side
    13,783.43x = 168,170,612.48
  5. Step 5: Solve for x
    x = 168,170,612.48/13,783.43
  6. Step 6: Final answer
    x = 12,200.93

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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.