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Finding the Fourth Proportional to 13,202.74, 19,793.19 and 6,179.29

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Solution

The fourth proportional to 13,202.74, 19,793.19 and 6,179.29 is: 9,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.74 : 19,793.19 = 6,179.29 : x
  2. Step 2: Convert to fraction form
    13,202.74/19,793.19 = 6,179.29/x
  3. Step 3: Cross multiply
    13,202.74x = 19,793.19 × 6,179.29
  4. Step 4: Simplify right side
    13,202.74x = 122,307,861.04
  5. Step 5: Solve for x
    x = 122,307,861.04/13,202.74
  6. Step 6: Final answer
    x = 9,263.82

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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.