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Finding the Fourth Proportional to 16,474.12, 24,704.09 and 5,226.86

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Solution

The fourth proportional to 16,474.12, 24,704.09 and 5,226.86 is: 7,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.12 : 24,704.09 = 5,226.86 : x
  2. Step 2: Convert to fraction form
    16,474.12/24,704.09 = 5,226.86/x
  3. Step 3: Cross multiply
    16,474.12x = 24,704.09 × 5,226.86
  4. Step 4: Simplify right side
    16,474.12x = 129,124,875.08
  5. Step 5: Solve for x
    x = 129,124,875.08/16,474.12
  6. Step 6: Final answer
    x = 7,838.05

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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.