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Finding the Fourth Proportional to 20,295.38, 30,439.42 and 9,200

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Solution

The fourth proportional to 20,295.38, 30,439.42 and 9,200 is: 13,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.38 : 30,439.42 = 9,200 : x
  2. Step 2: Convert to fraction form
    20,295.38/30,439.42 = 9,200/x
  3. Step 3: Cross multiply
    20,295.38x = 30,439.42 × 9,200
  4. Step 4: Simplify right side
    20,295.38x = 280,042,664
  5. Step 5: Solve for x
    x = 280,042,664/20,295.38
  6. Step 6: Final answer
    x = 13,798.35

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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.