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Finding the Fourth Proportional to 16,400.35, 24,601.90 and 5,158.27

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Solution

The fourth proportional to 16,400.35, 24,601.90 and 5,158.27 is: 7,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.35 : 24,601.90 = 5,158.27 : x
  2. Step 2: Convert to fraction form
    16,400.35/24,601.90 = 5,158.27/x
  3. Step 3: Cross multiply
    16,400.35x = 24,601.90 × 5,158.27
  4. Step 4: Simplify right side
    16,400.35x = 126,903,187.66
  5. Step 5: Solve for x
    x = 126,903,187.66/16,400.35
  6. Step 6: Final answer
    x = 7,737.84

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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.