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Finding the Fourth Proportional to 16,314.96, 24,469.20 and 7,991.40

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Solution

The fourth proportional to 16,314.96, 24,469.20 and 7,991.40 is: 11,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.96 : 24,469.20 = 7,991.40 : x
  2. Step 2: Convert to fraction form
    16,314.96/24,469.20 = 7,991.40/x
  3. Step 3: Cross multiply
    16,314.96x = 24,469.20 × 7,991.40
  4. Step 4: Simplify right side
    16,314.96x = 195,543,164.88
  5. Step 5: Solve for x
    x = 195,543,164.88/16,314.96
  6. Step 6: Final answer
    x = 11,985.51

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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.