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Finding the Fourth Proportional to 20,465.88, 30,695.37 and 5,676.30

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Solution

The fourth proportional to 20,465.88, 30,695.37 and 5,676.30 is: 8,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.88 : 30,695.37 = 5,676.30 : x
  2. Step 2: Convert to fraction form
    20,465.88/30,695.37 = 5,676.30/x
  3. Step 3: Cross multiply
    20,465.88x = 30,695.37 × 5,676.30
  4. Step 4: Simplify right side
    20,465.88x = 174,236,128.73
  5. Step 5: Solve for x
    x = 174,236,128.73/20,465.88
  6. Step 6: Final answer
    x = 8,513.49

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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.