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Finding the Fourth Proportional to 13,783.50, 20,649.24 and 8,144.35

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Solution

The fourth proportional to 13,783.50, 20,649.24 and 8,144.35 is: 12,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 20,649.24 = 8,144.35 : x
  2. Step 2: Convert to fraction form
    13,783.50/20,649.24 = 8,144.35/x
  3. Step 3: Cross multiply
    13,783.50x = 20,649.24 × 8,144.35
  4. Step 4: Simplify right side
    13,783.50x = 168,174,586.17
  5. Step 5: Solve for x
    x = 168,174,586.17/13,783.50
  6. Step 6: Final answer
    x = 12,201.15

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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.