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Finding the Fourth Proportional to 13,205.15, 19,793.71 and 6,179.24

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Solution

The fourth proportional to 13,205.15, 19,793.71 and 6,179.24 is: 9,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.15 : 19,793.71 = 6,179.24 : x
  2. Step 2: Convert to fraction form
    13,205.15/19,793.71 = 6,179.24/x
  3. Step 3: Cross multiply
    13,205.15x = 19,793.71 × 6,179.24
  4. Step 4: Simplify right side
    13,205.15x = 122,310,084.58
  5. Step 5: Solve for x
    x = 122,310,084.58/13,205.15
  6. Step 6: Final answer
    x = 9,262.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.