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Finding the Fourth Proportional to 23,949.31, 33,050.05 and 13,883.61

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Solution

The fourth proportional to 23,949.31, 33,050.05 and 13,883.61 is: 19,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,949.31 : 33,050.05 = 13,883.61 : x
  2. Step 2: Convert to fraction form
    23,949.31/33,050.05 = 13,883.61/x
  3. Step 3: Cross multiply
    23,949.31x = 33,050.05 × 13,883.61
  4. Step 4: Simplify right side
    23,949.31x = 458,853,839.43
  5. Step 5: Solve for x
    x = 458,853,839.43/23,949.31
  6. Step 6: Final answer
    x = 19,159.38

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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.