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Finding the Fourth Proportional to 19,769.60, 29,654.22 and 8,074.62

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Solution

The fourth proportional to 19,769.60, 29,654.22 and 8,074.62 is: 12,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.60 : 29,654.22 = 8,074.62 : x
  2. Step 2: Convert to fraction form
    19,769.60/29,654.22 = 8,074.62/x
  3. Step 3: Cross multiply
    19,769.60x = 29,654.22 × 8,074.62
  4. Step 4: Simplify right side
    19,769.60x = 239,446,557.90
  5. Step 5: Solve for x
    x = 239,446,557.90/19,769.60
  6. Step 6: Final answer
    x = 12,111.86

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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.