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Finding the Fourth Proportional to 24,011.97, 33,136.47 and 13,400.97

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Solution

The fourth proportional to 24,011.97, 33,136.47 and 13,400.97 is: 18,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.97 : 33,136.47 = 13,400.97 : x
  2. Step 2: Convert to fraction form
    24,011.97/33,136.47 = 13,400.97/x
  3. Step 3: Cross multiply
    24,011.97x = 33,136.47 × 13,400.97
  4. Step 4: Simplify right side
    24,011.97x = 444,060,840.38
  5. Step 5: Solve for x
    x = 444,060,840.38/24,011.97
  6. Step 6: Final answer
    x = 18,493.31

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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.