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Finding the Fourth Proportional to 16,014.46, 24,014.94 and 5,623.78

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Solution

The fourth proportional to 16,014.46, 24,014.94 and 5,623.78 is: 8,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.46 : 24,014.94 = 5,623.78 : x
  2. Step 2: Convert to fraction form
    16,014.46/24,014.94 = 5,623.78/x
  3. Step 3: Cross multiply
    16,014.46x = 24,014.94 × 5,623.78
  4. Step 4: Simplify right side
    16,014.46x = 135,054,739.27
  5. Step 5: Solve for x
    x = 135,054,739.27/16,014.46
  6. Step 6: Final answer
    x = 8,433.30

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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.