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Finding the Fourth Proportional to 20,952.74, 31,408.16 and 11,596.97

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Solution

The fourth proportional to 20,952.74, 31,408.16 and 11,596.97 is: 17,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.74 : 31,408.16 = 11,596.97 : x
  2. Step 2: Convert to fraction form
    20,952.74/31,408.16 = 11,596.97/x
  3. Step 3: Cross multiply
    20,952.74x = 31,408.16 × 11,596.97
  4. Step 4: Simplify right side
    20,952.74x = 364,239,509.81
  5. Step 5: Solve for x
    x = 364,239,509.81/20,952.74
  6. Step 6: Final answer
    x = 17,383.86

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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.