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Finding the Fourth Proportional to 24,449.73, 33,738.17 and 13,837.52

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Solution

The fourth proportional to 24,449.73, 33,738.17 and 13,837.52 is: 19,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.73 : 33,738.17 = 13,837.52 : x
  2. Step 2: Convert to fraction form
    24,449.73/33,738.17 = 13,837.52/x
  3. Step 3: Cross multiply
    24,449.73x = 33,738.17 × 13,837.52
  4. Step 4: Simplify right side
    24,449.73x = 466,852,364.26
  5. Step 5: Solve for x
    x = 466,852,364.26/24,449.73
  6. Step 6: Final answer
    x = 19,094.38

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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.