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Finding the Fourth Proportional to 24,499.89, 33,809.42 and 13,744.80

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Solution

The fourth proportional to 24,499.89, 33,809.42 and 13,744.80 is: 18,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.89 : 33,809.42 = 13,744.80 : x
  2. Step 2: Convert to fraction form
    24,499.89/33,809.42 = 13,744.80/x
  3. Step 3: Cross multiply
    24,499.89x = 33,809.42 × 13,744.80
  4. Step 4: Simplify right side
    24,499.89x = 464,703,750.38
  5. Step 5: Solve for x
    x = 464,703,750.38/24,499.89
  6. Step 6: Final answer
    x = 18,967.59

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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.