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Finding the Fourth Proportional to 24,601.38, 33,952.89 and 13,850.28

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Solution

The fourth proportional to 24,601.38, 33,952.89 and 13,850.28 is: 19,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601.38 : 33,952.89 = 13,850.28 : x
  2. Step 2: Convert to fraction form
    24,601.38/33,952.89 = 13,850.28/x
  3. Step 3: Cross multiply
    24,601.38x = 33,952.89 × 13,850.28
  4. Step 4: Simplify right side
    24,601.38x = 470,256,988.81
  5. Step 5: Solve for x
    x = 470,256,988.81/24,601.38
  6. Step 6: Final answer
    x = 19,115.07

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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.