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Finding the Fourth Proportional to 24,592.36, 33,939.70 and 13,981.97

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Solution

The fourth proportional to 24,592.36, 33,939.70 and 13,981.97 is: 19,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.36 : 33,939.70 = 13,981.97 : x
  2. Step 2: Convert to fraction form
    24,592.36/33,939.70 = 13,981.97/x
  3. Step 3: Cross multiply
    24,592.36x = 33,939.70 × 13,981.97
  4. Step 4: Simplify right side
    24,592.36x = 474,543,867.21
  5. Step 5: Solve for x
    x = 474,543,867.21/24,592.36
  6. Step 6: Final answer
    x = 19,296.39

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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.