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Finding the Fourth Proportional to 20,329.38, 30,491.64 and 9,224.28

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Solution

The fourth proportional to 20,329.38, 30,491.64 and 9,224.28 is: 13,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,329.38 : 30,491.64 = 9,224.28 : x
  2. Step 2: Convert to fraction form
    20,329.38/30,491.64 = 9,224.28/x
  3. Step 3: Cross multiply
    20,329.38x = 30,491.64 × 9,224.28
  4. Step 4: Simplify right side
    20,329.38x = 281,263,425.02
  5. Step 5: Solve for x
    x = 281,263,425.02/20,329.38
  6. Step 6: Final answer
    x = 13,835.32

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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.