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Finding the Fourth Proportional to 16,020.96, 24,034.68 and 5,635.68

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Solution

The fourth proportional to 16,020.96, 24,034.68 and 5,635.68 is: 8,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.96 : 24,034.68 = 5,635.68 : x
  2. Step 2: Convert to fraction form
    16,020.96/24,034.68 = 5,635.68/x
  3. Step 3: Cross multiply
    16,020.96x = 24,034.68 × 5,635.68
  4. Step 4: Simplify right side
    16,020.96x = 135,451,765.38
  5. Step 5: Solve for x
    x = 135,451,765.38/16,020.96
  6. Step 6: Final answer
    x = 8,454.66

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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.