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Finding the Fourth Proportional to 16,385.72, 24,575.34 and 5,993.96

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Solution

The fourth proportional to 16,385.72, 24,575.34 and 5,993.96 is: 8,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.72 : 24,575.34 = 5,993.96 : x
  2. Step 2: Convert to fraction form
    16,385.72/24,575.34 = 5,993.96/x
  3. Step 3: Cross multiply
    16,385.72x = 24,575.34 × 5,993.96
  4. Step 4: Simplify right side
    16,385.72x = 147,303,604.95
  5. Step 5: Solve for x
    x = 147,303,604.95/16,385.72
  6. Step 6: Final answer
    x = 8,989.75

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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.