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Finding the Fourth Proportional to 20,884.14, 31,318.92 and 9,194.22

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Solution

The fourth proportional to 20,884.14, 31,318.92 and 9,194.22 is: 13,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.14 : 31,318.92 = 9,194.22 : x
  2. Step 2: Convert to fraction form
    20,884.14/31,318.92 = 9,194.22/x
  3. Step 3: Cross multiply
    20,884.14x = 31,318.92 × 9,194.22
  4. Step 4: Simplify right side
    20,884.14x = 287,953,040.64
  5. Step 5: Solve for x
    x = 287,953,040.64/20,884.14
  6. Step 6: Final answer
    x = 13,788.12

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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.