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Finding the Fourth Proportional to 20,874.45, 31,321.97 and 9,779.22

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Solution

The fourth proportional to 20,874.45, 31,321.97 and 9,779.22 is: 14,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.45 : 31,321.97 = 9,779.22 : x
  2. Step 2: Convert to fraction form
    20,874.45/31,321.97 = 9,779.22/x
  3. Step 3: Cross multiply
    20,874.45x = 31,321.97 × 9,779.22
  4. Step 4: Simplify right side
    20,874.45x = 306,304,386.57
  5. Step 5: Solve for x
    x = 306,304,386.57/20,874.45
  6. Step 6: Final answer
    x = 14,673.65

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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.