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Finding the Fourth Proportional to 23,991.50, 33,108.31 and 13,381.82

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Solution

The fourth proportional to 23,991.50, 33,108.31 and 13,381.82 is: 18,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,991.50 : 33,108.31 = 13,381.82 : x
  2. Step 2: Convert to fraction form
    23,991.50/33,108.31 = 13,381.82/x
  3. Step 3: Cross multiply
    23,991.50x = 33,108.31 × 13,381.82
  4. Step 4: Simplify right side
    23,991.50x = 443,049,279.38
  5. Step 5: Solve for x
    x = 443,049,279.38/23,991.50
  6. Step 6: Final answer
    x = 18,466.93

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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.