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Finding the Fourth Proportional to 20,228.62, 30,302.88 and 9,540.34

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Solution

The fourth proportional to 20,228.62, 30,302.88 and 9,540.34 is: 14,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.62 : 30,302.88 = 9,540.34 : x
  2. Step 2: Convert to fraction form
    20,228.62/30,302.88 = 9,540.34/x
  3. Step 3: Cross multiply
    20,228.62x = 30,302.88 × 9,540.34
  4. Step 4: Simplify right side
    20,228.62x = 289,099,778.18
  5. Step 5: Solve for x
    x = 289,099,778.18/20,228.62
  6. Step 6: Final answer
    x = 14,291.62

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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.