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Finding the Fourth Proportional to 20,884.16, 31,329.84 and 11,031.68

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Solution

The fourth proportional to 20,884.16, 31,329.84 and 11,031.68 is: 16,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.16 : 31,329.84 = 11,031.68 : x
  2. Step 2: Convert to fraction form
    20,884.16/31,329.84 = 11,031.68/x
  3. Step 3: Cross multiply
    20,884.16x = 31,329.84 × 11,031.68
  4. Step 4: Simplify right side
    20,884.16x = 345,620,769.33
  5. Step 5: Solve for x
    x = 345,620,769.33/20,884.16
  6. Step 6: Final answer
    x = 16,549.42

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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.