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Finding the Fourth Proportional to 13,909.85, 20,864.82 and 4,049.37

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Solution

The fourth proportional to 13,909.85, 20,864.82 and 4,049.37 is: 6,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.85 : 20,864.82 = 4,049.37 : x
  2. Step 2: Convert to fraction form
    13,909.85/20,864.82 = 4,049.37/x
  3. Step 3: Cross multiply
    13,909.85x = 20,864.82 × 4,049.37
  4. Step 4: Simplify right side
    13,909.85x = 84,489,298.50
  5. Step 5: Solve for x
    x = 84,489,298.50/13,909.85
  6. Step 6: Final answer
    x = 6,074.06

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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.