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Finding the Fourth Proportional to 13,884, 20,826.02 and 5,676

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Solution

The fourth proportional to 13,884, 20,826.02 and 5,676 is: 8,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884 : 20,826.02 = 5,676 : x
  2. Step 2: Convert to fraction form
    13,884/20,826.02 = 5,676/x
  3. Step 3: Cross multiply
    13,884x = 20,826.02 × 5,676
  4. Step 4: Simplify right side
    13,884x = 118,208,489.52
  5. Step 5: Solve for x
    x = 118,208,489.52/13,884
  6. Step 6: Final answer
    x = 8,514.01

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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.