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Finding the Fourth Proportional to 24,449.82, 33,738.03 and 13,837.38

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Solution

The fourth proportional to 24,449.82, 33,738.03 and 13,837.38 is: 19,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.82 : 33,738.03 = 13,837.38 : x
  2. Step 2: Convert to fraction form
    24,449.82/33,738.03 = 13,837.38/x
  3. Step 3: Cross multiply
    24,449.82x = 33,738.03 × 13,837.38
  4. Step 4: Simplify right side
    24,449.82x = 466,845,941.56
  5. Step 5: Solve for x
    x = 466,845,941.56/24,449.82
  6. Step 6: Final answer
    x = 19,094.04

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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.