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Finding the Fourth Proportional to 20,314.25, 30,475.20 and 9,221.72

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Solution

The fourth proportional to 20,314.25, 30,475.20 and 9,221.72 is: 13,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.25 : 30,475.20 = 9,221.72 : x
  2. Step 2: Convert to fraction form
    20,314.25/30,475.20 = 9,221.72/x
  3. Step 3: Cross multiply
    20,314.25x = 30,475.20 × 9,221.72
  4. Step 4: Simplify right side
    20,314.25x = 281,033,761.34
  5. Step 5: Solve for x
    x = 281,033,761.34/20,314.25
  6. Step 6: Final answer
    x = 13,834.32

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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.