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Finding the Fourth Proportional to 13,842.25, 19,103.70 and 8,178.83

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Solution

The fourth proportional to 13,842.25, 19,103.70 and 8,178.83 is: 11,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.25 : 19,103.70 = 8,178.83 : x
  2. Step 2: Convert to fraction form
    13,842.25/19,103.70 = 8,178.83/x
  3. Step 3: Cross multiply
    13,842.25x = 19,103.70 × 8,178.83
  4. Step 4: Simplify right side
    13,842.25x = 156,245,819.15
  5. Step 5: Solve for x
    x = 156,245,819.15/13,842.25
  6. Step 6: Final answer
    x = 11,287.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.