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Finding the Fourth Proportional to 20,924.54, 31,383.34 and 6,884.74

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Solution

The fourth proportional to 20,924.54, 31,383.34 and 6,884.74 is: 10,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.54 : 31,383.34 = 6,884.74 : x
  2. Step 2: Convert to fraction form
    20,924.54/31,383.34 = 6,884.74/x
  3. Step 3: Cross multiply
    20,924.54x = 31,383.34 × 6,884.74
  4. Step 4: Simplify right side
    20,924.54x = 216,066,136.23
  5. Step 5: Solve for x
    x = 216,066,136.23/20,924.54
  6. Step 6: Final answer
    x = 10,325.97

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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.