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Finding the Fourth Proportional to 16,474.90, 24,709.38 and 8,152.24

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Solution

The fourth proportional to 16,474.90, 24,709.38 and 8,152.24 is: 12,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.90 : 24,709.38 = 8,152.24 : x
  2. Step 2: Convert to fraction form
    16,474.90/24,709.38 = 8,152.24/x
  3. Step 3: Cross multiply
    16,474.90x = 24,709.38 × 8,152.24
  4. Step 4: Simplify right side
    16,474.90x = 201,436,796.01
  5. Step 5: Solve for x
    x = 201,436,796.01/16,474.90
  6. Step 6: Final answer
    x = 12,226.89

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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.