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Finding the Fourth Proportional to 13,769.19, 20,553.85 and 12,108.49

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Solution

The fourth proportional to 13,769.19, 20,553.85 and 12,108.49 is: 18,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.19 : 20,553.85 = 12,108.49 : x
  2. Step 2: Convert to fraction form
    13,769.19/20,553.85 = 12,108.49/x
  3. Step 3: Cross multiply
    13,769.19x = 20,553.85 × 12,108.49
  4. Step 4: Simplify right side
    13,769.19x = 248,876,050.94
  5. Step 5: Solve for x
    x = 248,876,050.94/13,769.19
  6. Step 6: Final answer
    x = 18,074.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.