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Finding the Fourth Proportional to 24,416.39, 33,694.59 and 13,238.39

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Solution

The fourth proportional to 24,416.39, 33,694.59 and 13,238.39 is: 18,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.39 : 33,694.59 = 13,238.39 : x
  2. Step 2: Convert to fraction form
    24,416.39/33,694.59 = 13,238.39/x
  3. Step 3: Cross multiply
    24,416.39x = 33,694.59 × 13,238.39
  4. Step 4: Simplify right side
    24,416.39x = 446,062,123.31
  5. Step 5: Solve for x
    x = 446,062,123.31/24,416.39
  6. Step 6: Final answer
    x = 18,268.96

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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.