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Finding the Fourth Proportional to 33,973.63, 50,960.41 and 13,197.13

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Solution

The fourth proportional to 33,973.63, 50,960.41 and 13,197.13 is: 19,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,973.63 : 50,960.41 = 13,197.13 : x
  2. Step 2: Convert to fraction form
    33,973.63/50,960.41 = 13,197.13/x
  3. Step 3: Cross multiply
    33,973.63x = 50,960.41 × 13,197.13
  4. Step 4: Simplify right side
    33,973.63x = 672,530,995.23
  5. Step 5: Solve for x
    x = 672,530,995.23/33,973.63
  6. Step 6: Final answer
    x = 19,795.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.