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Finding the Fourth Proportional to 20,149.70, 30,229.35 and 9,752.90

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Solution

The fourth proportional to 20,149.70, 30,229.35 and 9,752.90 is: 14,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.70 : 30,229.35 = 9,752.90 : x
  2. Step 2: Convert to fraction form
    20,149.70/30,229.35 = 9,752.90/x
  3. Step 3: Cross multiply
    20,149.70x = 30,229.35 × 9,752.90
  4. Step 4: Simplify right side
    20,149.70x = 294,823,827.62
  5. Step 5: Solve for x
    x = 294,823,827.62/20,149.70
  6. Step 6: Final answer
    x = 14,631.67

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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.