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Finding the Fourth Proportional to 14,819.74, 20,450.81 and 8,105.23

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Solution

The fourth proportional to 14,819.74, 20,450.81 and 8,105.23 is: 11,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.74 : 20,450.81 = 8,105.23 : x
  2. Step 2: Convert to fraction form
    14,819.74/20,450.81 = 8,105.23/x
  3. Step 3: Cross multiply
    14,819.74x = 20,450.81 × 8,105.23
  4. Step 4: Simplify right side
    14,819.74x = 165,758,486.83
  5. Step 5: Solve for x
    x = 165,758,486.83/14,819.74
  6. Step 6: Final answer
    x = 11,184.98

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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.