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Finding the Fourth Proportional to 13,105.20, 19,665 and 6,179.52

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Solution

The fourth proportional to 13,105.20, 19,665 and 6,179.52 is: 9,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.20 : 19,665 = 6,179.52 : x
  2. Step 2: Convert to fraction form
    13,105.20/19,665 = 6,179.52/x
  3. Step 3: Cross multiply
    13,105.20x = 19,665 × 6,179.52
  4. Step 4: Simplify right side
    13,105.20x = 121,520,260.80
  5. Step 5: Solve for x
    x = 121,520,260.80/13,105.20
  6. Step 6: Final answer
    x = 9,272.68

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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.