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Finding the Fourth Proportional to 16,178.44, 24,267.67 and 4,491.67

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Solution

The fourth proportional to 16,178.44, 24,267.67 and 4,491.67 is: 6,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.44 : 24,267.67 = 4,491.67 : x
  2. Step 2: Convert to fraction form
    16,178.44/24,267.67 = 4,491.67/x
  3. Step 3: Cross multiply
    16,178.44x = 24,267.67 × 4,491.67
  4. Step 4: Simplify right side
    16,178.44x = 109,002,365.31
  5. Step 5: Solve for x
    x = 109,002,365.31/16,178.44
  6. Step 6: Final answer
    x = 6,737.51

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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.