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Finding the Fourth Proportional to 18,137, 27,205.68 and 6,450.68

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Solution

The fourth proportional to 18,137, 27,205.68 and 6,450.68 is: 9,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137 : 27,205.68 = 6,450.68 : x
  2. Step 2: Convert to fraction form
    18,137/27,205.68 = 6,450.68/x
  3. Step 3: Cross multiply
    18,137x = 27,205.68 × 6,450.68
  4. Step 4: Simplify right side
    18,137x = 175,495,135.86
  5. Step 5: Solve for x
    x = 175,495,135.86/18,137
  6. Step 6: Final answer
    x = 9,676.08

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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.