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Finding the Fourth Proportional to 22,634, 31,234.92 and 13,802

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Solution

The fourth proportional to 22,634, 31,234.92 and 13,802 is: 19,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634 : 31,234.92 = 13,802 : x
  2. Step 2: Convert to fraction form
    22,634/31,234.92 = 13,802/x
  3. Step 3: Cross multiply
    22,634x = 31,234.92 × 13,802
  4. Step 4: Simplify right side
    22,634x = 431,104,365.84
  5. Step 5: Solve for x
    x = 431,104,365.84/22,634
  6. Step 6: Final answer
    x = 19,046.76

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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.