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Finding the Fourth Proportional to 16,156, 24,216.54 and 6,793.84

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Solution

The fourth proportional to 16,156, 24,216.54 and 6,793.84 is: 10,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156 : 24,216.54 = 6,793.84 : x
  2. Step 2: Convert to fraction form
    16,156/24,216.54 = 6,793.84/x
  3. Step 3: Cross multiply
    16,156x = 24,216.54 × 6,793.84
  4. Step 4: Simplify right side
    16,156x = 164,523,298.11
  5. Step 5: Solve for x
    x = 164,523,298.11/16,156
  6. Step 6: Final answer
    x = 10,183.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.