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Finding the Fourth Proportional to 14,819.76, 20,451.78 and 8,105.82

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Solution

The fourth proportional to 14,819.76, 20,451.78 and 8,105.82 is: 11,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.76 : 20,451.78 = 8,105.82 : x
  2. Step 2: Convert to fraction form
    14,819.76/20,451.78 = 8,105.82/x
  3. Step 3: Cross multiply
    14,819.76x = 20,451.78 × 8,105.82
  4. Step 4: Simplify right side
    14,819.76x = 165,778,447.36
  5. Step 5: Solve for x
    x = 165,778,447.36/14,819.76
  6. Step 6: Final answer
    x = 11,186.31

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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.