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Finding the Fourth Proportional to 20,147.70, 30,226.35 and 9,750.90

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Solution

The fourth proportional to 20,147.70, 30,226.35 and 9,750.90 is: 14,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.70 : 30,226.35 = 9,750.90 : x
  2. Step 2: Convert to fraction form
    20,147.70/30,226.35 = 9,750.90/x
  3. Step 3: Cross multiply
    20,147.70x = 30,226.35 × 9,750.90
  4. Step 4: Simplify right side
    20,147.70x = 294,734,116.22
  5. Step 5: Solve for x
    x = 294,734,116.22/20,147.70
  6. Step 6: Final answer
    x = 14,628.67

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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.