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Finding the Fourth Proportional to 16,134.21, 24,204.67 and 8,133.47

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Solution

The fourth proportional to 16,134.21, 24,204.67 and 8,133.47 is: 12,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.21 : 24,204.67 = 8,133.47 : x
  2. Step 2: Convert to fraction form
    16,134.21/24,204.67 = 8,133.47/x
  3. Step 3: Cross multiply
    16,134.21x = 24,204.67 × 8,133.47
  4. Step 4: Simplify right side
    16,134.21x = 196,867,957.30
  5. Step 5: Solve for x
    x = 196,867,957.30/16,134.21
  6. Step 6: Final answer
    x = 12,201.90

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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.