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Finding the Fourth Proportional to 13,676.17, 20,514.16 and 3,815.50

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Solution

The fourth proportional to 13,676.17, 20,514.16 and 3,815.50 is: 5,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.17 : 20,514.16 = 3,815.50 : x
  2. Step 2: Convert to fraction form
    13,676.17/20,514.16 = 3,815.50/x
  3. Step 3: Cross multiply
    13,676.17x = 20,514.16 × 3,815.50
  4. Step 4: Simplify right side
    13,676.17x = 78,271,777.48
  5. Step 5: Solve for x
    x = 78,271,777.48/13,676.17
  6. Step 6: Final answer
    x = 5,723.22

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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.