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Finding the Fourth Proportional to 16,267.74, 22,446.42 and 10,301.38

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Solution

The fourth proportional to 16,267.74, 22,446.42 and 10,301.38 is: 14,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.74 : 22,446.42 = 10,301.38 : x
  2. Step 2: Convert to fraction form
    16,267.74/22,446.42 = 10,301.38/x
  3. Step 3: Cross multiply
    16,267.74x = 22,446.42 × 10,301.38
  4. Step 4: Simplify right side
    16,267.74x = 231,229,007.31
  5. Step 5: Solve for x
    x = 231,229,007.31/16,267.74
  6. Step 6: Final answer
    x = 14,213.96

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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.