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Finding the Fourth Proportional to 16,454.37, 24,674.10 and 8,131.14

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Solution

The fourth proportional to 16,454.37, 24,674.10 and 8,131.14 is: 12,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.37 : 24,674.10 = 8,131.14 : x
  2. Step 2: Convert to fraction form
    16,454.37/24,674.10 = 8,131.14/x
  3. Step 3: Cross multiply
    16,454.37x = 24,674.10 × 8,131.14
  4. Step 4: Simplify right side
    16,454.37x = 200,628,561.47
  5. Step 5: Solve for x
    x = 200,628,561.47/16,454.37
  6. Step 6: Final answer
    x = 12,193.03

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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.