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Finding the Fourth Proportional to 13,884.85, 20,827.26 and 4,524.86

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Solution

The fourth proportional to 13,884.85, 20,827.26 and 4,524.86 is: 6,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.85 : 20,827.26 = 4,524.86 : x
  2. Step 2: Convert to fraction form
    13,884.85/20,827.26 = 4,524.86/x
  3. Step 3: Cross multiply
    13,884.85x = 20,827.26 × 4,524.86
  4. Step 4: Simplify right side
    13,884.85x = 94,240,435.68
  5. Step 5: Solve for x
    x = 94,240,435.68/13,884.85
  6. Step 6: Final answer
    x = 6,787.29

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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.