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Finding the Fourth Proportional to 20,295.72, 30,443.58 and 9,200.34

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Solution

The fourth proportional to 20,295.72, 30,443.58 and 9,200.34 is: 13,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.72 : 30,443.58 = 9,200.34 : x
  2. Step 2: Convert to fraction form
    20,295.72/30,443.58 = 9,200.34/x
  3. Step 3: Cross multiply
    20,295.72x = 30,443.58 × 9,200.34
  4. Step 4: Simplify right side
    20,295.72x = 280,091,286.82
  5. Step 5: Solve for x
    x = 280,091,286.82/20,295.72
  6. Step 6: Final answer
    x = 13,800.51

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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.