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Finding the Fourth Proportional to 16,423.46, 22,665.12 and 9,351.38

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Solution

The fourth proportional to 16,423.46, 22,665.12 and 9,351.38 is: 12,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.46 : 22,665.12 = 9,351.38 : x
  2. Step 2: Convert to fraction form
    16,423.46/22,665.12 = 9,351.38/x
  3. Step 3: Cross multiply
    16,423.46x = 22,665.12 × 9,351.38
  4. Step 4: Simplify right side
    16,423.46x = 211,950,149.87
  5. Step 5: Solve for x
    x = 211,950,149.87/16,423.46
  6. Step 6: Final answer
    x = 12,905.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.