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Finding the Fourth Proportional to 16,183.84, 24,277.50 and 5,090.86

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Solution

The fourth proportional to 16,183.84, 24,277.50 and 5,090.86 is: 7,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.84 : 24,277.50 = 5,090.86 : x
  2. Step 2: Convert to fraction form
    16,183.84/24,277.50 = 5,090.86/x
  3. Step 3: Cross multiply
    16,183.84x = 24,277.50 × 5,090.86
  4. Step 4: Simplify right side
    16,183.84x = 123,593,353.65
  5. Step 5: Solve for x
    x = 123,593,353.65/16,183.84
  6. Step 6: Final answer
    x = 7,636.84

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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.