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Finding the Fourth Proportional to 13,205, 19,793.85 and 4,436.96

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Solution

The fourth proportional to 13,205, 19,793.85 and 4,436.96 is: 6,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205 : 19,793.85 = 4,436.96 : x
  2. Step 2: Convert to fraction form
    13,205/19,793.85 = 4,436.96/x
  3. Step 3: Cross multiply
    13,205x = 19,793.85 × 4,436.96
  4. Step 4: Simplify right side
    13,205x = 87,824,520.70
  5. Step 5: Solve for x
    x = 87,824,520.70/13,205
  6. Step 6: Final answer
    x = 6,650.85

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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.