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Finding the Fourth Proportional to 24,593.31, 33,936 and 13,836.11

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Solution

The fourth proportional to 24,593.31, 33,936 and 13,836.11 is: 19,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593.31 : 33,936 = 13,836.11 : x
  2. Step 2: Convert to fraction form
    24,593.31/33,936 = 13,836.11/x
  3. Step 3: Cross multiply
    24,593.31x = 33,936 × 13,836.11
  4. Step 4: Simplify right side
    24,593.31x = 469,542,059.28
  5. Step 5: Solve for x
    x = 469,542,059.28/24,593.31
  6. Step 6: Final answer
    x = 19,092.27

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1.5x scale

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.