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Finding the Fourth Proportional to 22,698, 31,323.24 and 13,274.48

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Solution

The fourth proportional to 22,698, 31,323.24 and 13,274.48 is: 18,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698 : 31,323.24 = 13,274.48 : x
  2. Step 2: Convert to fraction form
    22,698/31,323.24 = 13,274.48/x
  3. Step 3: Cross multiply
    22,698x = 31,323.24 × 13,274.48
  4. Step 4: Simplify right side
    22,698x = 415,799,722.92
  5. Step 5: Solve for x
    x = 415,799,722.92/22,698
  6. Step 6: Final answer
    x = 18,318.78

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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.