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Finding the Fourth Proportional to 16,134.42, 24,207.84 and 7,813.80

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Solution

The fourth proportional to 16,134.42, 24,207.84 and 7,813.80 is: 11,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.42 : 24,207.84 = 7,813.80 : x
  2. Step 2: Convert to fraction form
    16,134.42/24,207.84 = 7,813.80/x
  3. Step 3: Cross multiply
    16,134.42x = 24,207.84 × 7,813.80
  4. Step 4: Simplify right side
    16,134.42x = 189,155,181.12
  5. Step 5: Solve for x
    x = 189,155,181.12/16,134.42
  6. Step 6: Final answer
    x = 11,723.71

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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.